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Finding the Fourth Proportional to 2,098.10, 3,147.53 and 864.82

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Solution

The fourth proportional to 2,098.10, 3,147.53 and 864.82 is: 1,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.10 : 3,147.53 = 864.82 : x
  2. Step 2: Convert to fraction form
    2,098.10/3,147.53 = 864.82/x
  3. Step 3: Cross multiply
    2,098.10x = 3,147.53 × 864.82
  4. Step 4: Simplify right side
    2,098.10x = 2,722,046.89
  5. Step 5: Solve for x
    x = 2,722,046.89/2,098.10
  6. Step 6: Final answer
    x = 1,297.39

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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.