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Finding the Fourth Proportional to 2,264.88, 3,396.78 and 1,441.92

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Solution

The fourth proportional to 2,264.88, 3,396.78 and 1,441.92 is: 2,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.88 : 3,396.78 = 1,441.92 : x
  2. Step 2: Convert to fraction form
    2,264.88/3,396.78 = 1,441.92/x
  3. Step 3: Cross multiply
    2,264.88x = 3,396.78 × 1,441.92
  4. Step 4: Simplify right side
    2,264.88x = 4,897,885.02
  5. Step 5: Solve for x
    x = 4,897,885.02/2,264.88
  6. Step 6: Final answer
    x = 2,162.54

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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.