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Finding the Fourth Proportional to 2,552.89, 3,830.42 and 1,321.17

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Solution

The fourth proportional to 2,552.89, 3,830.42 and 1,321.17 is: 1,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.89 : 3,830.42 = 1,321.17 : x
  2. Step 2: Convert to fraction form
    2,552.89/3,830.42 = 1,321.17/x
  3. Step 3: Cross multiply
    2,552.89x = 3,830.42 × 1,321.17
  4. Step 4: Simplify right side
    2,552.89x = 5,060,616.84
  5. Step 5: Solve for x
    x = 5,060,616.84/2,552.89
  6. Step 6: Final answer
    x = 1,982.31

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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.