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Finding the Fourth Proportional to 3,101.27, 4,277.95 and 2,039.22

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Solution

The fourth proportional to 3,101.27, 4,277.95 and 2,039.22 is: 2,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.27 : 4,277.95 = 2,039.22 : x
  2. Step 2: Convert to fraction form
    3,101.27/4,277.95 = 2,039.22/x
  3. Step 3: Cross multiply
    3,101.27x = 4,277.95 × 2,039.22
  4. Step 4: Simplify right side
    3,101.27x = 8,723,676.10
  5. Step 5: Solve for x
    x = 8,723,676.10/3,101.27
  6. Step 6: Final answer
    x = 2,812.94

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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.