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Finding the Fourth Proportional to 2,098.92, 3,143.99 and 1,002.18

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Solution

The fourth proportional to 2,098.92, 3,143.99 and 1,002.18 is: 1,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.92 : 3,143.99 = 1,002.18 : x
  2. Step 2: Convert to fraction form
    2,098.92/3,143.99 = 1,002.18/x
  3. Step 3: Cross multiply
    2,098.92x = 3,143.99 × 1,002.18
  4. Step 4: Simplify right side
    2,098.92x = 3,150,838.89
  5. Step 5: Solve for x
    x = 3,150,838.89/2,098.92
  6. Step 6: Final answer
    x = 1,501.17

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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.