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Finding the Fourth Proportional to 2,306.68, 3,162.11 and 2,264.76

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Solution

The fourth proportional to 2,306.68, 3,162.11 and 2,264.76 is: 3,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.68 : 3,162.11 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    2,306.68/3,162.11 = 2,264.76/x
  3. Step 3: Cross multiply
    2,306.68x = 3,162.11 × 2,264.76
  4. Step 4: Simplify right side
    2,306.68x = 7,161,428.03
  5. Step 5: Solve for x
    x = 7,161,428.03/2,306.68
  6. Step 6: Final answer
    x = 3,104.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.