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Finding the Fourth Proportional to 2,264.67, 3,378.29 and 2,002.23

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Solution

The fourth proportional to 2,264.67, 3,378.29 and 2,002.23 is: 2,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.67 : 3,378.29 = 2,002.23 : x
  2. Step 2: Convert to fraction form
    2,264.67/3,378.29 = 2,002.23/x
  3. Step 3: Cross multiply
    2,264.67x = 3,378.29 × 2,002.23
  4. Step 4: Simplify right side
    2,264.67x = 6,764,103.58
  5. Step 5: Solve for x
    x = 6,764,103.58/2,264.67
  6. Step 6: Final answer
    x = 2,986.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.