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Finding the Fourth Proportional to 2,557.59, 3,836.47 and 708.73

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Solution

The fourth proportional to 2,557.59, 3,836.47 and 708.73 is: 1,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.59 : 3,836.47 = 708.73 : x
  2. Step 2: Convert to fraction form
    2,557.59/3,836.47 = 708.73/x
  3. Step 3: Cross multiply
    2,557.59x = 3,836.47 × 708.73
  4. Step 4: Simplify right side
    2,557.59x = 2,719,010.02
  5. Step 5: Solve for x
    x = 2,719,010.02/2,557.59
  6. Step 6: Final answer
    x = 1,063.11

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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.