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Finding the Fourth Proportional to 2,617.56, 3,925.87 and 862.58

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Solution

The fourth proportional to 2,617.56, 3,925.87 and 862.58 is: 1,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.56 : 3,925.87 = 862.58 : x
  2. Step 2: Convert to fraction form
    2,617.56/3,925.87 = 862.58/x
  3. Step 3: Cross multiply
    2,617.56x = 3,925.87 × 862.58
  4. Step 4: Simplify right side
    2,617.56x = 3,386,384.60
  5. Step 5: Solve for x
    x = 3,386,384.60/2,617.56
  6. Step 6: Final answer
    x = 1,293.72

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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.