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Finding the Fourth Proportional to 2,711.42, 4,041.46 and 2,511.69

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Solution

The fourth proportional to 2,711.42, 4,041.46 and 2,511.69 is: 3,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.42 : 4,041.46 = 2,511.69 : x
  2. Step 2: Convert to fraction form
    2,711.42/4,041.46 = 2,511.69/x
  3. Step 3: Cross multiply
    2,711.42x = 4,041.46 × 2,511.69
  4. Step 4: Simplify right side
    2,711.42x = 10,150,905.38
  5. Step 5: Solve for x
    x = 10,150,905.38/2,711.42
  6. Step 6: Final answer
    x = 3,743.75

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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.