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Finding the Fourth Proportional to 2,278.79, 3,402.20 and 1,928.57

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Solution

The fourth proportional to 2,278.79, 3,402.20 and 1,928.57 is: 2,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.79 : 3,402.20 = 1,928.57 : x
  2. Step 2: Convert to fraction form
    2,278.79/3,402.20 = 1,928.57/x
  3. Step 3: Cross multiply
    2,278.79x = 3,402.20 × 1,928.57
  4. Step 4: Simplify right side
    2,278.79x = 6,561,380.85
  5. Step 5: Solve for x
    x = 6,561,380.85/2,278.79
  6. Step 6: Final answer
    x = 2,879.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.