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Finding the Fourth Proportional to 2,552.97, 3,523.21 and 1,433.89

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Solution

The fourth proportional to 2,552.97, 3,523.21 and 1,433.89 is: 1,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.97 : 3,523.21 = 1,433.89 : x
  2. Step 2: Convert to fraction form
    2,552.97/3,523.21 = 1,433.89/x
  3. Step 3: Cross multiply
    2,552.97x = 3,523.21 × 1,433.89
  4. Step 4: Simplify right side
    2,552.97x = 5,051,896.41
  5. Step 5: Solve for x
    x = 5,051,896.41/2,552.97
  6. Step 6: Final answer
    x = 1,978.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.