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Finding the Fourth Proportional to 1,819.17, 2,729.89 and 831.83

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Solution

The fourth proportional to 1,819.17, 2,729.89 and 831.83 is: 1,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.17 : 2,729.89 = 831.83 : x
  2. Step 2: Convert to fraction form
    1,819.17/2,729.89 = 831.83/x
  3. Step 3: Cross multiply
    1,819.17x = 2,729.89 × 831.83
  4. Step 4: Simplify right side
    1,819.17x = 2,270,788.67
  5. Step 5: Solve for x
    x = 2,270,788.67/1,819.17
  6. Step 6: Final answer
    x = 1,248.26

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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.