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Finding the Fourth Proportional to 1,530.74, 2,112.38 and 901.12

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Solution

The fourth proportional to 1,530.74, 2,112.38 and 901.12 is: 1,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.74 : 2,112.38 = 901.12 : x
  2. Step 2: Convert to fraction form
    1,530.74/2,112.38 = 901.12/x
  3. Step 3: Cross multiply
    1,530.74x = 2,112.38 × 901.12
  4. Step 4: Simplify right side
    1,530.74x = 1,903,508.64
  5. Step 5: Solve for x
    x = 1,903,508.64/1,530.74
  6. Step 6: Final answer
    x = 1,243.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.