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Finding the Fourth Proportional to 2,751.38, 4,120.22 and 1,925.78

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Solution

The fourth proportional to 2,751.38, 4,120.22 and 1,925.78 is: 2,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.38 : 4,120.22 = 1,925.78 : x
  2. Step 2: Convert to fraction form
    2,751.38/4,120.22 = 1,925.78/x
  3. Step 3: Cross multiply
    2,751.38x = 4,120.22 × 1,925.78
  4. Step 4: Simplify right side
    2,751.38x = 7,934,637.27
  5. Step 5: Solve for x
    x = 7,934,637.27/2,751.38
  6. Step 6: Final answer
    x = 2,883.88

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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.