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Finding the Fourth Proportional to 2,748.96, 4,123.68 and 1,209.12

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Solution

The fourth proportional to 2,748.96, 4,123.68 and 1,209.12 is: 1,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.96 : 4,123.68 = 1,209.12 : x
  2. Step 2: Convert to fraction form
    2,748.96/4,123.68 = 1,209.12/x
  3. Step 3: Cross multiply
    2,748.96x = 4,123.68 × 1,209.12
  4. Step 4: Simplify right side
    2,748.96x = 4,986,023.96
  5. Step 5: Solve for x
    x = 4,986,023.96/2,748.96
  6. Step 6: Final answer
    x = 1,813.79

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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.