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Finding the Fourth Proportional to 2,108.31, 3,162.47 and 953.25

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Solution

The fourth proportional to 2,108.31, 3,162.47 and 953.25 is: 1,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.31 : 3,162.47 = 953.25 : x
  2. Step 2: Convert to fraction form
    2,108.31/3,162.47 = 953.25/x
  3. Step 3: Cross multiply
    2,108.31x = 3,162.47 × 953.25
  4. Step 4: Simplify right side
    2,108.31x = 3,014,619.76
  5. Step 5: Solve for x
    x = 3,014,619.76/2,108.31
  6. Step 6: Final answer
    x = 1,429.88

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.