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Finding the Fourth Proportional to 2,455.52, 3,683.88 and 724.14

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Solution

The fourth proportional to 2,455.52, 3,683.88 and 724.14 is: 1,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.52 : 3,683.88 = 724.14 : x
  2. Step 2: Convert to fraction form
    2,455.52/3,683.88 = 724.14/x
  3. Step 3: Cross multiply
    2,455.52x = 3,683.88 × 724.14
  4. Step 4: Simplify right side
    2,455.52x = 2,667,644.86
  5. Step 5: Solve for x
    x = 2,667,644.86/2,455.52
  6. Step 6: Final answer
    x = 1,086.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.