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Finding the Fourth Proportional to 2,068.32, 3,102.69 and 769.49

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Solution

The fourth proportional to 2,068.32, 3,102.69 and 769.49 is: 1,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.32 : 3,102.69 = 769.49 : x
  2. Step 2: Convert to fraction form
    2,068.32/3,102.69 = 769.49/x
  3. Step 3: Cross multiply
    2,068.32x = 3,102.69 × 769.49
  4. Step 4: Simplify right side
    2,068.32x = 2,387,488.93
  5. Step 5: Solve for x
    x = 2,387,488.93/2,068.32
  6. Step 6: Final answer
    x = 1,154.31

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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.