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Finding the Fourth Proportional to 2,068.87, 3,102.23 and 769.63

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Solution

The fourth proportional to 2,068.87, 3,102.23 and 769.63 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.87 : 3,102.23 = 769.63 : x
  2. Step 2: Convert to fraction form
    2,068.87/3,102.23 = 769.63/x
  3. Step 3: Cross multiply
    2,068.87x = 3,102.23 × 769.63
  4. Step 4: Simplify right side
    2,068.87x = 2,387,565.43
  5. Step 5: Solve for x
    x = 2,387,565.43/2,068.87
  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.