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Finding the Fourth Proportional to 2,314.56, 3,194.10 and 1,266.63

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Solution

The fourth proportional to 2,314.56, 3,194.10 and 1,266.63 is: 1,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.56 : 3,194.10 = 1,266.63 : x
  2. Step 2: Convert to fraction form
    2,314.56/3,194.10 = 1,266.63/x
  3. Step 3: Cross multiply
    2,314.56x = 3,194.10 × 1,266.63
  4. Step 4: Simplify right side
    2,314.56x = 4,045,742.88
  5. Step 5: Solve for x
    x = 4,045,742.88/2,314.56
  6. Step 6: Final answer
    x = 1,747.95

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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.