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Finding the Fourth Proportional to 2,098.11, 3,147.15 and 999.15

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Solution

The fourth proportional to 2,098.11, 3,147.15 and 999.15 is: 1,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.11 : 3,147.15 = 999.15 : x
  2. Step 2: Convert to fraction form
    2,098.11/3,147.15 = 999.15/x
  3. Step 3: Cross multiply
    2,098.11x = 3,147.15 × 999.15
  4. Step 4: Simplify right side
    2,098.11x = 3,144,474.92
  5. Step 5: Solve for x
    x = 3,144,474.92/2,098.11
  6. Step 6: Final answer
    x = 1,498.72

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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.