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Finding the Fourth Proportional to 2,943.68, 4,414.13 and 863.14

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Solution

The fourth proportional to 2,943.68, 4,414.13 and 863.14 is: 1,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.68 : 4,414.13 = 863.14 : x
  2. Step 2: Convert to fraction form
    2,943.68/4,414.13 = 863.14/x
  3. Step 3: Cross multiply
    2,943.68x = 4,414.13 × 863.14
  4. Step 4: Simplify right side
    2,943.68x = 3,810,030.59
  5. Step 5: Solve for x
    x = 3,810,030.59/2,943.68
  6. Step 6: Final answer
    x = 1,294.31

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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.