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Finding the Fourth Proportional to 2,155.74, 3,233.91 and 769.29

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Solution

The fourth proportional to 2,155.74, 3,233.91 and 769.29 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.74 : 3,233.91 = 769.29 : x
  2. Step 2: Convert to fraction form
    2,155.74/3,233.91 = 769.29/x
  3. Step 3: Cross multiply
    2,155.74x = 3,233.91 × 769.29
  4. Step 4: Simplify right side
    2,155.74x = 2,487,814.62
  5. Step 5: Solve for x
    x = 2,487,814.62/2,155.74
  6. Step 6: Final answer
    x = 1,154.04

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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.