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Finding the Fourth Proportional to 2,199.55, 3,298.53 and 738.37

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Solution

The fourth proportional to 2,199.55, 3,298.53 and 738.37 is: 1,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.55 : 3,298.53 = 738.37 : x
  2. Step 2: Convert to fraction form
    2,199.55/3,298.53 = 738.37/x
  3. Step 3: Cross multiply
    2,199.55x = 3,298.53 × 738.37
  4. Step 4: Simplify right side
    2,199.55x = 2,435,519.10
  5. Step 5: Solve for x
    x = 2,435,519.10/2,199.55
  6. Step 6: Final answer
    x = 1,107.28

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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.