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Finding the Fourth Proportional to 3,101.61, 4,278.60 and 2,354.34

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Solution

The fourth proportional to 3,101.61, 4,278.60 and 2,354.34 is: 3,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.61 : 4,278.60 = 2,354.34 : x
  2. Step 2: Convert to fraction form
    3,101.61/4,278.60 = 2,354.34/x
  3. Step 3: Cross multiply
    3,101.61x = 4,278.60 × 2,354.34
  4. Step 4: Simplify right side
    3,101.61x = 10,073,279.12
  5. Step 5: Solve for x
    x = 10,073,279.12/3,101.61
  6. Step 6: Final answer
    x = 3,247.76

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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.