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Finding the Fourth Proportional to 1,266.20, 1,896.96 and 1,062.08

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Solution

The fourth proportional to 1,266.20, 1,896.96 and 1,062.08 is: 1,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.20 : 1,896.96 = 1,062.08 : x
  2. Step 2: Convert to fraction form
    1,266.20/1,896.96 = 1,062.08/x
  3. Step 3: Cross multiply
    1,266.20x = 1,896.96 × 1,062.08
  4. Step 4: Simplify right side
    1,266.20x = 2,014,723.28
  5. Step 5: Solve for x
    x = 2,014,723.28/1,266.20
  6. Step 6: Final answer
    x = 1,591.16

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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.