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Finding the Fourth Proportional to 2,902.92, 4,354.42 and 711.70

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Solution

The fourth proportional to 2,902.92, 4,354.42 and 711.70 is: 1,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.92 : 4,354.42 = 711.70 : x
  2. Step 2: Convert to fraction form
    2,902.92/4,354.42 = 711.70/x
  3. Step 3: Cross multiply
    2,902.92x = 4,354.42 × 711.70
  4. Step 4: Simplify right side
    2,902.92x = 3,099,040.71
  5. Step 5: Solve for x
    x = 3,099,040.71/2,902.92
  6. Step 6: Final answer
    x = 1,067.56

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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.