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Finding the Fourth Proportional to 2,096.62, 3,141.88 and 1,159.74

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Solution

The fourth proportional to 2,096.62, 3,141.88 and 1,159.74 is: 1,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.62 : 3,141.88 = 1,159.74 : x
  2. Step 2: Convert to fraction form
    2,096.62/3,141.88 = 1,159.74/x
  3. Step 3: Cross multiply
    2,096.62x = 3,141.88 × 1,159.74
  4. Step 4: Simplify right side
    2,096.62x = 3,643,763.91
  5. Step 5: Solve for x
    x = 3,643,763.91/2,096.62
  6. Step 6: Final answer
    x = 1,737.92

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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.