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Finding the Fourth Proportional to 2,557.31, 3,835.97 and 708.36

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Solution

The fourth proportional to 2,557.31, 3,835.97 and 708.36 is: 1,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.31 : 3,835.97 = 708.36 : x
  2. Step 2: Convert to fraction form
    2,557.31/3,835.97 = 708.36/x
  3. Step 3: Cross multiply
    2,557.31x = 3,835.97 × 708.36
  4. Step 4: Simplify right side
    2,557.31x = 2,717,244.17
  5. Step 5: Solve for x
    x = 2,717,244.17/2,557.31
  6. Step 6: Final answer
    x = 1,062.54

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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.