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Finding the Fourth Proportional to 2,265.47, 3,396.18 and 1,441.43

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Solution

The fourth proportional to 2,265.47, 3,396.18 and 1,441.43 is: 2,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.47 : 3,396.18 = 1,441.43 : x
  2. Step 2: Convert to fraction form
    2,265.47/3,396.18 = 1,441.43/x
  3. Step 3: Cross multiply
    2,265.47x = 3,396.18 × 1,441.43
  4. Step 4: Simplify right side
    2,265.47x = 4,895,355.74
  5. Step 5: Solve for x
    x = 4,895,355.74/2,265.47
  6. Step 6: Final answer
    x = 2,160.86

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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.