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Finding the Fourth Proportional to 3,279.10, 4,522.05 and 2,159.74

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Solution

The fourth proportional to 3,279.10, 4,522.05 and 2,159.74 is: 2,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.10 : 4,522.05 = 2,159.74 : x
  2. Step 2: Convert to fraction form
    3,279.10/4,522.05 = 2,159.74/x
  3. Step 3: Cross multiply
    3,279.10x = 4,522.05 × 2,159.74
  4. Step 4: Simplify right side
    3,279.10x = 9,766,452.27
  5. Step 5: Solve for x
    x = 9,766,452.27/3,279.10
  6. Step 6: Final answer
    x = 2,978.39

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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.