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Finding the Fourth Proportional to 1,982.60, 2,735.96 and 1,098.42

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Solution

The fourth proportional to 1,982.60, 2,735.96 and 1,098.42 is: 1,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.60 : 2,735.96 = 1,098.42 : x
  2. Step 2: Convert to fraction form
    1,982.60/2,735.96 = 1,098.42/x
  3. Step 3: Cross multiply
    1,982.60x = 2,735.96 × 1,098.42
  4. Step 4: Simplify right side
    1,982.60x = 3,005,233.18
  5. Step 5: Solve for x
    x = 3,005,233.18/1,982.60
  6. Step 6: Final answer
    x = 1,515.80

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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.