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Finding the Fourth Proportional to 2,199.40, 3,298.90 and 738.57

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Solution

The fourth proportional to 2,199.40, 3,298.90 and 738.57 is: 1,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.40 : 3,298.90 = 738.57 : x
  2. Step 2: Convert to fraction form
    2,199.40/3,298.90 = 738.57/x
  3. Step 3: Cross multiply
    2,199.40x = 3,298.90 × 738.57
  4. Step 4: Simplify right side
    2,199.40x = 2,436,464.00
  5. Step 5: Solve for x
    x = 2,436,464.00/2,199.40
  6. Step 6: Final answer
    x = 1,107.78

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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.