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Finding the Fourth Proportional to 1,614.16, 2,419.38 and 689.14

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Solution

The fourth proportional to 1,614.16, 2,419.38 and 689.14 is: 1,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.16 : 2,419.38 = 689.14 : x
  2. Step 2: Convert to fraction form
    1,614.16/2,419.38 = 689.14/x
  3. Step 3: Cross multiply
    1,614.16x = 2,419.38 × 689.14
  4. Step 4: Simplify right side
    1,614.16x = 1,667,291.53
  5. Step 5: Solve for x
    x = 1,667,291.53/1,614.16
  6. Step 6: Final answer
    x = 1,032.92

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Why These Related Problems?

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