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Finding the Fourth Proportional to 2,159.92, 3,233.76 and 1,954.88

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Solution

The fourth proportional to 2,159.92, 3,233.76 and 1,954.88 is: 2,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.92 : 3,233.76 = 1,954.88 : x
  2. Step 2: Convert to fraction form
    2,159.92/3,233.76 = 1,954.88/x
  3. Step 3: Cross multiply
    2,159.92x = 3,233.76 × 1,954.88
  4. Step 4: Simplify right side
    2,159.92x = 6,321,612.75
  5. Step 5: Solve for x
    x = 6,321,612.75/2,159.92
  6. Step 6: Final answer
    x = 2,926.78

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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.