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Finding the Fourth Proportional to 2,098.74, 3,158.70 and 1,581.42

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Solution

The fourth proportional to 2,098.74, 3,158.70 and 1,581.42 is: 2,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.74 : 3,158.70 = 1,581.42 : x
  2. Step 2: Convert to fraction form
    2,098.74/3,158.70 = 1,581.42/x
  3. Step 3: Cross multiply
    2,098.74x = 3,158.70 × 1,581.42
  4. Step 4: Simplify right side
    2,098.74x = 4,995,231.35
  5. Step 5: Solve for x
    x = 4,995,231.35/2,098.74
  6. Step 6: Final answer
    x = 2,380.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.