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Finding the Fourth Proportional to 2,167.42, 3,251.38 and 761.40

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Solution

The fourth proportional to 2,167.42, 3,251.38 and 761.40 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.42 : 3,251.38 = 761.40 : x
  2. Step 2: Convert to fraction form
    2,167.42/3,251.38 = 761.40/x
  3. Step 3: Cross multiply
    2,167.42x = 3,251.38 × 761.40
  4. Step 4: Simplify right side
    2,167.42x = 2,475,600.73
  5. Step 5: Solve for x
    x = 2,475,600.73/2,167.42
  6. Step 6: Final answer
    x = 1,142.19

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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.