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Finding the Fourth Proportional to 2,552.49, 3,522.80 and 1,433.70

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Solution

The fourth proportional to 2,552.49, 3,522.80 and 1,433.70 is: 1,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.49 : 3,522.80 = 1,433.70 : x
  2. Step 2: Convert to fraction form
    2,552.49/3,522.80 = 1,433.70/x
  3. Step 3: Cross multiply
    2,552.49x = 3,522.80 × 1,433.70
  4. Step 4: Simplify right side
    2,552.49x = 5,050,641.94
  5. Step 5: Solve for x
    x = 5,050,641.94/2,552.49
  6. Step 6: Final answer
    x = 1,978.71

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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.