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Finding the Fourth Proportional to 1,472.04, 2,031.14 and 912.60

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Solution

The fourth proportional to 1,472.04, 2,031.14 and 912.60 is: 1,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.04 : 2,031.14 = 912.60 : x
  2. Step 2: Convert to fraction form
    1,472.04/2,031.14 = 912.60/x
  3. Step 3: Cross multiply
    1,472.04x = 2,031.14 × 912.60
  4. Step 4: Simplify right side
    1,472.04x = 1,853,620.65
  5. Step 5: Solve for x
    x = 1,853,620.65/1,472.04
  6. Step 6: Final answer
    x = 1,259.22

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