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Finding the Fourth Proportional to 2,456.55, 3,683.69 and 724.83

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Solution

The fourth proportional to 2,456.55, 3,683.69 and 724.83 is: 1,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.55 : 3,683.69 = 724.83 : x
  2. Step 2: Convert to fraction form
    2,456.55/3,683.69 = 724.83/x
  3. Step 3: Cross multiply
    2,456.55x = 3,683.69 × 724.83
  4. Step 4: Simplify right side
    2,456.55x = 2,670,045.40
  5. Step 5: Solve for x
    x = 2,670,045.40/2,456.55
  6. Step 6: Final answer
    x = 1,086.91

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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.