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Finding the Fourth Proportional to 2,314.72, 3,194.26 and 1,266.72

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Solution

The fourth proportional to 2,314.72, 3,194.26 and 1,266.72 is: 1,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.72 : 3,194.26 = 1,266.72 : x
  2. Step 2: Convert to fraction form
    2,314.72/3,194.26 = 1,266.72/x
  3. Step 3: Cross multiply
    2,314.72x = 3,194.26 × 1,266.72
  4. Step 4: Simplify right side
    2,314.72x = 4,046,233.03
  5. Step 5: Solve for x
    x = 4,046,233.03/2,314.72
  6. Step 6: Final answer
    x = 1,748.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.