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Finding the Fourth Proportional to 2,549.84, 3,820.68 and 2,158.20

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Solution

The fourth proportional to 2,549.84, 3,820.68 and 2,158.20 is: 3,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.84 : 3,820.68 = 2,158.20 : x
  2. Step 2: Convert to fraction form
    2,549.84/3,820.68 = 2,158.20/x
  3. Step 3: Cross multiply
    2,549.84x = 3,820.68 × 2,158.20
  4. Step 4: Simplify right side
    2,549.84x = 8,245,791.58
  5. Step 5: Solve for x
    x = 8,245,791.58/2,549.84
  6. Step 6: Final answer
    x = 3,233.85

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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.