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Finding the Fourth Proportional to 3,115.92, 4,674.06 and 1,266.09

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Solution

The fourth proportional to 3,115.92, 4,674.06 and 1,266.09 is: 1,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.92 : 4,674.06 = 1,266.09 : x
  2. Step 2: Convert to fraction form
    3,115.92/4,674.06 = 1,266.09/x
  3. Step 3: Cross multiply
    3,115.92x = 4,674.06 × 1,266.09
  4. Step 4: Simplify right side
    3,115.92x = 5,917,780.63
  5. Step 5: Solve for x
    x = 5,917,780.63/3,115.92
  6. Step 6: Final answer
    x = 1,899.21

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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.