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Finding the Fourth Proportional to 1,298.80, 1,948.17 and 1,081.90

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Solution

The fourth proportional to 1,298.80, 1,948.17 and 1,081.90 is: 1,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.80 : 1,948.17 = 1,081.90 : x
  2. Step 2: Convert to fraction form
    1,298.80/1,948.17 = 1,081.90/x
  3. Step 3: Cross multiply
    1,298.80x = 1,948.17 × 1,081.90
  4. Step 4: Simplify right side
    1,298.80x = 2,107,725.12
  5. Step 5: Solve for x
    x = 2,107,725.12/1,298.80
  6. Step 6: Final answer
    x = 1,622.83

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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.