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Finding the Fourth Proportional to 3,101.85, 4,279.41 and 2,040.21

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Solution

The fourth proportional to 3,101.85, 4,279.41 and 2,040.21 is: 2,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.85 : 4,279.41 = 2,040.21 : x
  2. Step 2: Convert to fraction form
    3,101.85/4,279.41 = 2,040.21/x
  3. Step 3: Cross multiply
    3,101.85x = 4,279.41 × 2,040.21
  4. Step 4: Simplify right side
    3,101.85x = 8,730,895.08
  5. Step 5: Solve for x
    x = 8,730,895.08/3,101.85
  6. Step 6: Final answer
    x = 2,814.74

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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.