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Finding the Fourth Proportional to 2,279.35, 3,419.84 and 981.73

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Solution

The fourth proportional to 2,279.35, 3,419.84 and 981.73 is: 1,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.35 : 3,419.84 = 981.73 : x
  2. Step 2: Convert to fraction form
    2,279.35/3,419.84 = 981.73/x
  3. Step 3: Cross multiply
    2,279.35x = 3,419.84 × 981.73
  4. Step 4: Simplify right side
    2,279.35x = 3,357,359.52
  5. Step 5: Solve for x
    x = 3,357,359.52/2,279.35
  6. Step 6: Final answer
    x = 1,472.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.