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Finding the Fourth Proportional to 2,230.95, 3,344.19 and 769.10

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Solution

The fourth proportional to 2,230.95, 3,344.19 and 769.10 is: 1,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.95 : 3,344.19 = 769.10 : x
  2. Step 2: Convert to fraction form
    2,230.95/3,344.19 = 769.10/x
  3. Step 3: Cross multiply
    2,230.95x = 3,344.19 × 769.10
  4. Step 4: Simplify right side
    2,230.95x = 2,572,016.53
  5. Step 5: Solve for x
    x = 2,572,016.53/2,230.95
  6. Step 6: Final answer
    x = 1,152.88

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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.