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Finding the Fourth Proportional to 2,455.76, 3,683.64 and 724.25

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Solution

The fourth proportional to 2,455.76, 3,683.64 and 724.25 is: 1,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.76 : 3,683.64 = 724.25 : x
  2. Step 2: Convert to fraction form
    2,455.76/3,683.64 = 724.25/x
  3. Step 3: Cross multiply
    2,455.76x = 3,683.64 × 724.25
  4. Step 4: Simplify right side
    2,455.76x = 2,667,876.27
  5. Step 5: Solve for x
    x = 2,667,876.27/2,455.76
  6. Step 6: Final answer
    x = 1,086.38

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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.