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Finding the Fourth Proportional to 2,638.80, 3,955.32 and 1,098

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Solution

The fourth proportional to 2,638.80, 3,955.32 and 1,098 is: 1,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.80 : 3,955.32 = 1,098 : x
  2. Step 2: Convert to fraction form
    2,638.80/3,955.32 = 1,098/x
  3. Step 3: Cross multiply
    2,638.80x = 3,955.32 × 1,098
  4. Step 4: Simplify right side
    2,638.80x = 4,342,941.36
  5. Step 5: Solve for x
    x = 4,342,941.36/2,638.80
  6. Step 6: Final answer
    x = 1,645.80

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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.