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Finding the Fourth Proportional to 1,614.42, 2,417.04 and 1,512.36

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Solution

The fourth proportional to 1,614.42, 2,417.04 and 1,512.36 is: 2,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.42 : 2,417.04 = 1,512.36 : x
  2. Step 2: Convert to fraction form
    1,614.42/2,417.04 = 1,512.36/x
  3. Step 3: Cross multiply
    1,614.42x = 2,417.04 × 1,512.36
  4. Step 4: Simplify right side
    1,614.42x = 3,655,434.61
  5. Step 5: Solve for x
    x = 3,655,434.61/1,614.42
  6. Step 6: Final answer
    x = 2,264.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.