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Finding the Fourth Proportional to 2,098.29, 3,143.33 and 1,917.86

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Solution

The fourth proportional to 2,098.29, 3,143.33 and 1,917.86 is: 2,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.29 : 3,143.33 = 1,917.86 : x
  2. Step 2: Convert to fraction form
    2,098.29/3,143.33 = 1,917.86/x
  3. Step 3: Cross multiply
    2,098.29x = 3,143.33 × 1,917.86
  4. Step 4: Simplify right side
    2,098.29x = 6,028,441.57
  5. Step 5: Solve for x
    x = 6,028,441.57/2,098.29
  6. Step 6: Final answer
    x = 2,873.03

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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.