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Finding the Fourth Proportional to 1,614.31, 2,223.50 and 1,240.57

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Solution

The fourth proportional to 1,614.31, 2,223.50 and 1,240.57 is: 1,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.31 : 2,223.50 = 1,240.57 : x
  2. Step 2: Convert to fraction form
    1,614.31/2,223.50 = 1,240.57/x
  3. Step 3: Cross multiply
    1,614.31x = 2,223.50 × 1,240.57
  4. Step 4: Simplify right side
    1,614.31x = 2,758,410.95
  5. Step 5: Solve for x
    x = 2,758,410.95/1,614.31
  6. Step 6: Final answer
    x = 1,708.73

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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.