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Finding the Fourth Proportional to 3,101.66, 4,279.11 and 2,296.04

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Solution

The fourth proportional to 3,101.66, 4,279.11 and 2,296.04 is: 3,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.66 : 4,279.11 = 2,296.04 : x
  2. Step 2: Convert to fraction form
    3,101.66/4,279.11 = 2,296.04/x
  3. Step 3: Cross multiply
    3,101.66x = 4,279.11 × 2,296.04
  4. Step 4: Simplify right side
    3,101.66x = 9,824,990.63
  5. Step 5: Solve for x
    x = 9,824,990.63/3,101.66
  6. Step 6: Final answer
    x = 3,167.65

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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.