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Finding the Fourth Proportional to 3,279.20, 4,525.39 and 1,787.14

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Solution

The fourth proportional to 3,279.20, 4,525.39 and 1,787.14 is: 2,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.20 : 4,525.39 = 1,787.14 : x
  2. Step 2: Convert to fraction form
    3,279.20/4,525.39 = 1,787.14/x
  3. Step 3: Cross multiply
    3,279.20x = 4,525.39 × 1,787.14
  4. Step 4: Simplify right side
    3,279.20x = 8,087,505.48
  5. Step 5: Solve for x
    x = 8,087,505.48/3,279.20
  6. Step 6: Final answer
    x = 2,466.30

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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.