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Finding the Fourth Proportional to 2,805.44, 4,207.60 and 1,266.08

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Solution

The fourth proportional to 2,805.44, 4,207.60 and 1,266.08 is: 1,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.44 : 4,207.60 = 1,266.08 : x
  2. Step 2: Convert to fraction form
    2,805.44/4,207.60 = 1,266.08/x
  3. Step 3: Cross multiply
    2,805.44x = 4,207.60 × 1,266.08
  4. Step 4: Simplify right side
    2,805.44x = 5,327,158.21
  5. Step 5: Solve for x
    x = 5,327,158.21/2,805.44
  6. Step 6: Final answer
    x = 1,898.87

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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.