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Finding the Fourth Proportional to 2,552.57, 3,522.49 and 1,433.50

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Solution

The fourth proportional to 2,552.57, 3,522.49 and 1,433.50 is: 1,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.57 : 3,522.49 = 1,433.50 : x
  2. Step 2: Convert to fraction form
    2,552.57/3,522.49 = 1,433.50/x
  3. Step 3: Cross multiply
    2,552.57x = 3,522.49 × 1,433.50
  4. Step 4: Simplify right side
    2,552.57x = 5,049,489.42
  5. Step 5: Solve for x
    x = 5,049,489.42/2,552.57
  6. Step 6: Final answer
    x = 1,978.20

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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.