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Finding the Fourth Proportional to 2,209.57, 3,049.47 and 1,278.07

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Solution

The fourth proportional to 2,209.57, 3,049.47 and 1,278.07 is: 1,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.57 : 3,049.47 = 1,278.07 : x
  2. Step 2: Convert to fraction form
    2,209.57/3,049.47 = 1,278.07/x
  3. Step 3: Cross multiply
    2,209.57x = 3,049.47 × 1,278.07
  4. Step 4: Simplify right side
    2,209.57x = 3,897,436.12
  5. Step 5: Solve for x
    x = 3,897,436.12/2,209.57
  6. Step 6: Final answer
    x = 1,763.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.