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Finding the Fourth Proportional to 2,431.53, 3,646.89 and 871.20

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Solution

The fourth proportional to 2,431.53, 3,646.89 and 871.20 is: 1,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.53 : 3,646.89 = 871.20 : x
  2. Step 2: Convert to fraction form
    2,431.53/3,646.89 = 871.20/x
  3. Step 3: Cross multiply
    2,431.53x = 3,646.89 × 871.20
  4. Step 4: Simplify right side
    2,431.53x = 3,177,170.57
  5. Step 5: Solve for x
    x = 3,177,170.57/2,431.53
  6. Step 6: Final answer
    x = 1,306.65

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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.