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Finding the Fourth Proportional to 2,575.40, 3,871.67 and 2,091.83

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Solution

The fourth proportional to 2,575.40, 3,871.67 and 2,091.83 is: 3,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.40 : 3,871.67 = 2,091.83 : x
  2. Step 2: Convert to fraction form
    2,575.40/3,871.67 = 2,091.83/x
  3. Step 3: Cross multiply
    2,575.40x = 3,871.67 × 2,091.83
  4. Step 4: Simplify right side
    2,575.40x = 8,098,845.64
  5. Step 5: Solve for x
    x = 8,098,845.64/2,575.40
  6. Step 6: Final answer
    x = 3,144.70

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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.