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Finding the Fourth Proportional to 2,711.14, 3,744.03 and 2,315.86

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Solution

The fourth proportional to 2,711.14, 3,744.03 and 2,315.86 is: 3,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.14 : 3,744.03 = 2,315.86 : x
  2. Step 2: Convert to fraction form
    2,711.14/3,744.03 = 2,315.86/x
  3. Step 3: Cross multiply
    2,711.14x = 3,744.03 × 2,315.86
  4. Step 4: Simplify right side
    2,711.14x = 8,670,649.32
  5. Step 5: Solve for x
    x = 8,670,649.32/2,711.14
  6. Step 6: Final answer
    x = 3,198.16

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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.