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Finding the Fourth Proportional to 2,922.40, 4,380.72 and 2,265.76

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Solution

The fourth proportional to 2,922.40, 4,380.72 and 2,265.76 is: 3,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.40 : 4,380.72 = 2,265.76 : x
  2. Step 2: Convert to fraction form
    2,922.40/4,380.72 = 2,265.76/x
  3. Step 3: Cross multiply
    2,922.40x = 4,380.72 × 2,265.76
  4. Step 4: Simplify right side
    2,922.40x = 9,925,660.15
  5. Step 5: Solve for x
    x = 9,925,660.15/2,922.40
  6. Step 6: Final answer
    x = 3,396.41

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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.