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Finding the Fourth Proportional to 1,819.55, 2,729.79 and 724.01

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Solution

The fourth proportional to 1,819.55, 2,729.79 and 724.01 is: 1,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.55 : 2,729.79 = 724.01 : x
  2. Step 2: Convert to fraction form
    1,819.55/2,729.79 = 724.01/x
  3. Step 3: Cross multiply
    1,819.55x = 2,729.79 × 724.01
  4. Step 4: Simplify right side
    1,819.55x = 1,976,381.61
  5. Step 5: Solve for x
    x = 1,976,381.61/1,819.55
  6. Step 6: Final answer
    x = 1,086.20

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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.