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Finding the Fourth Proportional to 2,098.86, 2,891.42 and 1,468.20

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Solution

The fourth proportional to 2,098.86, 2,891.42 and 1,468.20 is: 2,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.86 : 2,891.42 = 1,468.20 : x
  2. Step 2: Convert to fraction form
    2,098.86/2,891.42 = 1,468.20/x
  3. Step 3: Cross multiply
    2,098.86x = 2,891.42 × 1,468.20
  4. Step 4: Simplify right side
    2,098.86x = 4,245,175.50
  5. Step 5: Solve for x
    x = 4,245,175.50/2,098.86
  6. Step 6: Final answer
    x = 2,022.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.