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Finding the Fourth Proportional to 2,068.34, 3,102.55 and 769.55

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Solution

The fourth proportional to 2,068.34, 3,102.55 and 769.55 is: 1,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.34 : 3,102.55 = 769.55 : x
  2. Step 2: Convert to fraction form
    2,068.34/3,102.55 = 769.55/x
  3. Step 3: Cross multiply
    2,068.34x = 3,102.55 × 769.55
  4. Step 4: Simplify right side
    2,068.34x = 2,387,549.92
  5. Step 5: Solve for x
    x = 2,387,549.92/2,068.34
  6. Step 6: Final answer
    x = 1,154.33

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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.