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Finding the Fourth Proportional to 2,744.59, 4,113.96 and 1,098.85

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Solution

The fourth proportional to 2,744.59, 4,113.96 and 1,098.85 is: 1,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.59 : 4,113.96 = 1,098.85 : x
  2. Step 2: Convert to fraction form
    2,744.59/4,113.96 = 1,098.85/x
  3. Step 3: Cross multiply
    2,744.59x = 4,113.96 × 1,098.85
  4. Step 4: Simplify right side
    2,744.59x = 4,520,624.95
  5. Step 5: Solve for x
    x = 4,520,624.95/2,744.59
  6. Step 6: Final answer
    x = 1,647.10

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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.