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Finding the Fourth Proportional to 1,614.09, 2,227.52 and 1,264.17

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Solution

The fourth proportional to 1,614.09, 2,227.52 and 1,264.17 is: 1,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.09 : 2,227.52 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    1,614.09/2,227.52 = 1,264.17/x
  3. Step 3: Cross multiply
    1,614.09x = 2,227.52 × 1,264.17
  4. Step 4: Simplify right side
    1,614.09x = 2,815,967.74
  5. Step 5: Solve for x
    x = 2,815,967.74/1,614.09
  6. Step 6: Final answer
    x = 1,744.61

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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.