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Finding the Fourth Proportional to 1,689.46, 2,538.42 and 1,073.41

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Solution

The fourth proportional to 1,689.46, 2,538.42 and 1,073.41 is: 1,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.46 : 2,538.42 = 1,073.41 : x
  2. Step 2: Convert to fraction form
    1,689.46/2,538.42 = 1,073.41/x
  3. Step 3: Cross multiply
    1,689.46x = 2,538.42 × 1,073.41
  4. Step 4: Simplify right side
    1,689.46x = 2,724,765.41
  5. Step 5: Solve for x
    x = 2,724,765.41/1,689.46
  6. Step 6: Final answer
    x = 1,612.80

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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.