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Finding the Fourth Proportional to 2,549.31, 3,820.02 and 2,157.49

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Solution

The fourth proportional to 2,549.31, 3,820.02 and 2,157.49 is: 3,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.31 : 3,820.02 = 2,157.49 : x
  2. Step 2: Convert to fraction form
    2,549.31/3,820.02 = 2,157.49/x
  3. Step 3: Cross multiply
    2,549.31x = 3,820.02 × 2,157.49
  4. Step 4: Simplify right side
    2,549.31x = 8,241,654.95
  5. Step 5: Solve for x
    x = 8,241,654.95/2,549.31
  6. Step 6: Final answer
    x = 3,232.90

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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.