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Finding the Fourth Proportional to 2,179.10, 3,267.84 and 880.14

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Solution

The fourth proportional to 2,179.10, 3,267.84 and 880.14 is: 1,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.10 : 3,267.84 = 880.14 : x
  2. Step 2: Convert to fraction form
    2,179.10/3,267.84 = 880.14/x
  3. Step 3: Cross multiply
    2,179.10x = 3,267.84 × 880.14
  4. Step 4: Simplify right side
    2,179.10x = 2,876,156.70
  5. Step 5: Solve for x
    x = 2,876,156.70/2,179.10
  6. Step 6: Final answer
    x = 1,319.88

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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.