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Finding the Fourth Proportional to 2,455.64, 3,683.49 and 724.30

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Solution

The fourth proportional to 2,455.64, 3,683.49 and 724.30 is: 1,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.64 : 3,683.49 = 724.30 : x
  2. Step 2: Convert to fraction form
    2,455.64/3,683.49 = 724.30/x
  3. Step 3: Cross multiply
    2,455.64x = 3,683.49 × 724.30
  4. Step 4: Simplify right side
    2,455.64x = 2,667,951.81
  5. Step 5: Solve for x
    x = 2,667,951.81/2,455.64
  6. Step 6: Final answer
    x = 1,086.46

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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.