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Finding the Fourth Proportional to 2,942.80, 4,065.72 and 2,709.52

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Solution

The fourth proportional to 2,942.80, 4,065.72 and 2,709.52 is: 3,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.80 : 4,065.72 = 2,709.52 : x
  2. Step 2: Convert to fraction form
    2,942.80/4,065.72 = 2,709.52/x
  3. Step 3: Cross multiply
    2,942.80x = 4,065.72 × 2,709.52
  4. Step 4: Simplify right side
    2,942.80x = 11,016,149.65
  5. Step 5: Solve for x
    x = 11,016,149.65/2,942.80
  6. Step 6: Final answer
    x = 3,743.42

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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.