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Finding the Fourth Proportional to 2,529.52, 3,489.42 and 1,689.28

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Solution

The fourth proportional to 2,529.52, 3,489.42 and 1,689.28 is: 2,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.52 : 3,489.42 = 1,689.28 : x
  2. Step 2: Convert to fraction form
    2,529.52/3,489.42 = 1,689.28/x
  3. Step 3: Cross multiply
    2,529.52x = 3,489.42 × 1,689.28
  4. Step 4: Simplify right side
    2,529.52x = 5,894,607.42
  5. Step 5: Solve for x
    x = 5,894,607.42/2,529.52
  6. Step 6: Final answer
    x = 2,330.33

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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.