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Finding the Fourth Proportional to 2,581.66, 3,873.30 and 1,266.22

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Solution

The fourth proportional to 2,581.66, 3,873.30 and 1,266.22 is: 1,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.66 : 3,873.30 = 1,266.22 : x
  2. Step 2: Convert to fraction form
    2,581.66/3,873.30 = 1,266.22/x
  3. Step 3: Cross multiply
    2,581.66x = 3,873.30 × 1,266.22
  4. Step 4: Simplify right side
    2,581.66x = 4,904,449.93
  5. Step 5: Solve for x
    x = 4,904,449.93/2,581.66
  6. Step 6: Final answer
    x = 1,899.73

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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.