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Finding the Fourth Proportional to 1,982.52, 2,735.91 and 1,098.36

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Solution

The fourth proportional to 1,982.52, 2,735.91 and 1,098.36 is: 1,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.52 : 2,735.91 = 1,098.36 : x
  2. Step 2: Convert to fraction form
    1,982.52/2,735.91 = 1,098.36/x
  3. Step 3: Cross multiply
    1,982.52x = 2,735.91 × 1,098.36
  4. Step 4: Simplify right side
    1,982.52x = 3,005,014.11
  5. Step 5: Solve for x
    x = 3,005,014.11/1,982.52
  6. Step 6: Final answer
    x = 1,515.75

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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.