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Finding the Fourth Proportional to 2,575.70, 3,553.86 and 1,737.95

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Solution

The fourth proportional to 2,575.70, 3,553.86 and 1,737.95 is: 2,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.70 : 3,553.86 = 1,737.95 : x
  2. Step 2: Convert to fraction form
    2,575.70/3,553.86 = 1,737.95/x
  3. Step 3: Cross multiply
    2,575.70x = 3,553.86 × 1,737.95
  4. Step 4: Simplify right side
    2,575.70x = 6,176,439.87
  5. Step 5: Solve for x
    x = 6,176,439.87/2,575.70
  6. Step 6: Final answer
    x = 2,397.97

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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.