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Finding the Fourth Proportional to 2,862.96, 4,255.84 and 2,778.88

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Solution

The fourth proportional to 2,862.96, 4,255.84 and 2,778.88 is: 4,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.96 : 4,255.84 = 2,778.88 : x
  2. Step 2: Convert to fraction form
    2,862.96/4,255.84 = 2,778.88/x
  3. Step 3: Cross multiply
    2,862.96x = 4,255.84 × 2,778.88
  4. Step 4: Simplify right side
    2,862.96x = 11,826,458.24
  5. Step 5: Solve for x
    x = 11,826,458.24/2,862.96
  6. Step 6: Final answer
    x = 4,130.85

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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.