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Finding the Fourth Proportional to 3,115.74, 4,674.25 and 1,266.85

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Solution

The fourth proportional to 3,115.74, 4,674.25 and 1,266.85 is: 1,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.74 : 4,674.25 = 1,266.85 : x
  2. Step 2: Convert to fraction form
    3,115.74/4,674.25 = 1,266.85/x
  3. Step 3: Cross multiply
    3,115.74x = 4,674.25 × 1,266.85
  4. Step 4: Simplify right side
    3,115.74x = 5,921,576.29
  5. Step 5: Solve for x
    x = 5,921,576.29/3,115.74
  6. Step 6: Final answer
    x = 1,900.54

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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.