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Finding the Fourth Proportional to 2,229.78, 3,078.60 and 1,391.76

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Solution

The fourth proportional to 2,229.78, 3,078.60 and 1,391.76 is: 1,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.78 : 3,078.60 = 1,391.76 : x
  2. Step 2: Convert to fraction form
    2,229.78/3,078.60 = 1,391.76/x
  3. Step 3: Cross multiply
    2,229.78x = 3,078.60 × 1,391.76
  4. Step 4: Simplify right side
    2,229.78x = 4,284,672.34
  5. Step 5: Solve for x
    x = 4,284,672.34/2,229.78
  6. Step 6: Final answer
    x = 1,921.57

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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.