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Finding the Fourth Proportional to 2,701.86, 3,716.53 and 2,253.52

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Solution

The fourth proportional to 2,701.86, 3,716.53 and 2,253.52 is: 3,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.86 : 3,716.53 = 2,253.52 : x
  2. Step 2: Convert to fraction form
    2,701.86/3,716.53 = 2,253.52/x
  3. Step 3: Cross multiply
    2,701.86x = 3,716.53 × 2,253.52
  4. Step 4: Simplify right side
    2,701.86x = 8,375,286.37
  5. Step 5: Solve for x
    x = 8,375,286.37/2,701.86
  6. Step 6: Final answer
    x = 3,099.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.