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Finding the Fourth Proportional to 3,101.32, 4,279.20 and 1,775.44

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Solution

The fourth proportional to 3,101.32, 4,279.20 and 1,775.44 is: 2,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.32 : 4,279.20 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    3,101.32/4,279.20 = 1,775.44/x
  3. Step 3: Cross multiply
    3,101.32x = 4,279.20 × 1,775.44
  4. Step 4: Simplify right side
    3,101.32x = 7,597,462.85
  5. Step 5: Solve for x
    x = 7,597,462.85/3,101.32
  6. Step 6: Final answer
    x = 2,449.75

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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.