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Finding the Fourth Proportional to 2,302.62, 3,177.22 and 2,185.86

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Solution

The fourth proportional to 2,302.62, 3,177.22 and 2,185.86 is: 3,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.62 : 3,177.22 = 2,185.86 : x
  2. Step 2: Convert to fraction form
    2,302.62/3,177.22 = 2,185.86/x
  3. Step 3: Cross multiply
    2,302.62x = 3,177.22 × 2,185.86
  4. Step 4: Simplify right side
    2,302.62x = 6,944,958.11
  5. Step 5: Solve for x
    x = 6,944,958.11/2,302.62
  6. Step 6: Final answer
    x = 3,016.11

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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.