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Finding the Fourth Proportional to 3,423.60, 4,727.28 and 2,098

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Solution

The fourth proportional to 3,423.60, 4,727.28 and 2,098 is: 2,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.60 : 4,727.28 = 2,098 : x
  2. Step 2: Convert to fraction form
    3,423.60/4,727.28 = 2,098/x
  3. Step 3: Cross multiply
    3,423.60x = 4,727.28 × 2,098
  4. Step 4: Simplify right side
    3,423.60x = 9,917,833.44
  5. Step 5: Solve for x
    x = 9,917,833.44/3,423.60
  6. Step 6: Final answer
    x = 2,896.90

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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.