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Finding the Fourth Proportional to 3,116.78, 4,298.36 and 2,452.44

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Solution

The fourth proportional to 3,116.78, 4,298.36 and 2,452.44 is: 3,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.78 : 4,298.36 = 2,452.44 : x
  2. Step 2: Convert to fraction form
    3,116.78/4,298.36 = 2,452.44/x
  3. Step 3: Cross multiply
    3,116.78x = 4,298.36 × 2,452.44
  4. Step 4: Simplify right side
    3,116.78x = 10,541,470.00
  5. Step 5: Solve for x
    x = 10,541,470.00/3,116.78
  6. Step 6: Final answer
    x = 3,382.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.