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Finding the Fourth Proportional to 2,294.62, 3,442.17 and 755.74

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Solution

The fourth proportional to 2,294.62, 3,442.17 and 755.74 is: 1,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.62 : 3,442.17 = 755.74 : x
  2. Step 2: Convert to fraction form
    2,294.62/3,442.17 = 755.74/x
  3. Step 3: Cross multiply
    2,294.62x = 3,442.17 × 755.74
  4. Step 4: Simplify right side
    2,294.62x = 2,601,385.56
  5. Step 5: Solve for x
    x = 2,601,385.56/2,294.62
  6. Step 6: Final answer
    x = 1,133.69

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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.