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Finding the Fourth Proportional to 2,331.75, 3,496.49 and 1,098.12

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Solution

The fourth proportional to 2,331.75, 3,496.49 and 1,098.12 is: 1,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.75 : 3,496.49 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    2,331.75/3,496.49 = 1,098.12/x
  3. Step 3: Cross multiply
    2,331.75x = 3,496.49 × 1,098.12
  4. Step 4: Simplify right side
    2,331.75x = 3,839,560.11
  5. Step 5: Solve for x
    x = 3,839,560.11/2,331.75
  6. Step 6: Final answer
    x = 1,646.64

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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.