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Finding the Fourth Proportional to 1,472.36, 2,034.42 and 1,285.16

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Solution

The fourth proportional to 1,472.36, 2,034.42 and 1,285.16 is: 1,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.36 : 2,034.42 = 1,285.16 : x
  2. Step 2: Convert to fraction form
    1,472.36/2,034.42 = 1,285.16/x
  3. Step 3: Cross multiply
    1,472.36x = 2,034.42 × 1,285.16
  4. Step 4: Simplify right side
    1,472.36x = 2,614,555.21
  5. Step 5: Solve for x
    x = 2,614,555.21/1,472.36
  6. Step 6: Final answer
    x = 1,775.76

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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.