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Finding the Fourth Proportional to 2,552.70, 3,522.42 and 1,433.49

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Solution

The fourth proportional to 2,552.70, 3,522.42 and 1,433.49 is: 1,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.70 : 3,522.42 = 1,433.49 : x
  2. Step 2: Convert to fraction form
    2,552.70/3,522.42 = 1,433.49/x
  3. Step 3: Cross multiply
    2,552.70x = 3,522.42 × 1,433.49
  4. Step 4: Simplify right side
    2,552.70x = 5,049,353.85
  5. Step 5: Solve for x
    x = 5,049,353.85/2,552.70
  6. Step 6: Final answer
    x = 1,978.04

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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.