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Finding the Fourth Proportional to 2,191.46, 3,287.22 and 1,266.34

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Solution

The fourth proportional to 2,191.46, 3,287.22 and 1,266.34 is: 1,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.46 : 3,287.22 = 1,266.34 : x
  2. Step 2: Convert to fraction form
    2,191.46/3,287.22 = 1,266.34/x
  3. Step 3: Cross multiply
    2,191.46x = 3,287.22 × 1,266.34
  4. Step 4: Simplify right side
    2,191.46x = 4,162,738.17
  5. Step 5: Solve for x
    x = 4,162,738.17/2,191.46
  6. Step 6: Final answer
    x = 1,899.53

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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.