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Finding the Fourth Proportional to 1,468.18, 2,200.56 and 1,079.83

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Solution

The fourth proportional to 1,468.18, 2,200.56 and 1,079.83 is: 1,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.18 : 2,200.56 = 1,079.83 : x
  2. Step 2: Convert to fraction form
    1,468.18/2,200.56 = 1,079.83/x
  3. Step 3: Cross multiply
    1,468.18x = 2,200.56 × 1,079.83
  4. Step 4: Simplify right side
    1,468.18x = 2,376,230.70
  5. Step 5: Solve for x
    x = 2,376,230.70/1,468.18
  6. Step 6: Final answer
    x = 1,618.49

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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.