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Finding the Fourth Proportional to 2,576.05, 3,854.84 and 2,230.57

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Solution

The fourth proportional to 2,576.05, 3,854.84 and 2,230.57 is: 3,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.05 : 3,854.84 = 2,230.57 : x
  2. Step 2: Convert to fraction form
    2,576.05/3,854.84 = 2,230.57/x
  3. Step 3: Cross multiply
    2,576.05x = 3,854.84 × 2,230.57
  4. Step 4: Simplify right side
    2,576.05x = 8,598,496.67
  5. Step 5: Solve for x
    x = 8,598,496.67/2,576.05
  6. Step 6: Final answer
    x = 3,337.86

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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.