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Finding the Fourth Proportional to 2,156.52, 3,234.38 and 769.70

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Solution

The fourth proportional to 2,156.52, 3,234.38 and 769.70 is: 1,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.52 : 3,234.38 = 769.70 : x
  2. Step 2: Convert to fraction form
    2,156.52/3,234.38 = 769.70/x
  3. Step 3: Cross multiply
    2,156.52x = 3,234.38 × 769.70
  4. Step 4: Simplify right side
    2,156.52x = 2,489,502.29
  5. Step 5: Solve for x
    x = 2,489,502.29/2,156.52
  6. Step 6: Final answer
    x = 1,154.41

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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.