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Finding the Fourth Proportional to 3,410.50, 5,115.74 and 945.32

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Solution

The fourth proportional to 3,410.50, 5,115.74 and 945.32 is: 1,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.50 : 5,115.74 = 945.32 : x
  2. Step 2: Convert to fraction form
    3,410.50/5,115.74 = 945.32/x
  3. Step 3: Cross multiply
    3,410.50x = 5,115.74 × 945.32
  4. Step 4: Simplify right side
    3,410.50x = 4,835,984.58
  5. Step 5: Solve for x
    x = 4,835,984.58/3,410.50
  6. Step 6: Final answer
    x = 1,417.97

Related Problems

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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.