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Finding the Fourth Proportional to 2,286.76, 3,434.30 and 2,193.96

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Solution

The fourth proportional to 2,286.76, 3,434.30 and 2,193.96 is: 3,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.76 : 3,434.30 = 2,193.96 : x
  2. Step 2: Convert to fraction form
    2,286.76/3,434.30 = 2,193.96/x
  3. Step 3: Cross multiply
    2,286.76x = 3,434.30 × 2,193.96
  4. Step 4: Simplify right side
    2,286.76x = 7,534,716.83
  5. Step 5: Solve for x
    x = 7,534,716.83/2,286.76
  6. Step 6: Final answer
    x = 3,294.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.