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Finding the Fourth Proportional to 2,403, 3,601.42 and 1,154.16

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Solution

The fourth proportional to 2,403, 3,601.42 and 1,154.16 is: 1,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403 : 3,601.42 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    2,403/3,601.42 = 1,154.16/x
  3. Step 3: Cross multiply
    2,403x = 3,601.42 × 1,154.16
  4. Step 4: Simplify right side
    2,403x = 4,156,614.91
  5. Step 5: Solve for x
    x = 4,156,614.91/2,403
  6. Step 6: Final answer
    x = 1,729.76

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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.