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Finding the Fourth Proportional to 2,751.68, 3,793.69 and 2,277.83

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Solution

The fourth proportional to 2,751.68, 3,793.69 and 2,277.83 is: 3,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.68 : 3,793.69 = 2,277.83 : x
  2. Step 2: Convert to fraction form
    2,751.68/3,793.69 = 2,277.83/x
  3. Step 3: Cross multiply
    2,751.68x = 3,793.69 × 2,277.83
  4. Step 4: Simplify right side
    2,751.68x = 8,641,380.89
  5. Step 5: Solve for x
    x = 8,641,380.89/2,751.68
  6. Step 6: Final answer
    x = 3,140.40

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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.