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Finding the Fourth Proportional to 2,778.43, 4,167.65 and 2,255.95

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Solution

The fourth proportional to 2,778.43, 4,167.65 and 2,255.95 is: 3,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.43 : 4,167.65 = 2,255.95 : x
  2. Step 2: Convert to fraction form
    2,778.43/4,167.65 = 2,255.95/x
  3. Step 3: Cross multiply
    2,778.43x = 4,167.65 × 2,255.95
  4. Step 4: Simplify right side
    2,778.43x = 9,402,020.87
  5. Step 5: Solve for x
    x = 9,402,020.87/2,778.43
  6. Step 6: Final answer
    x = 3,383.94

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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.