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Finding the Fourth Proportional to 2,314.82, 3,194.54 and 1,266.88

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Solution

The fourth proportional to 2,314.82, 3,194.54 and 1,266.88 is: 1,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.82 : 3,194.54 = 1,266.88 : x
  2. Step 2: Convert to fraction form
    2,314.82/3,194.54 = 1,266.88/x
  3. Step 3: Cross multiply
    2,314.82x = 3,194.54 × 1,266.88
  4. Step 4: Simplify right side
    2,314.82x = 4,047,098.84
  5. Step 5: Solve for x
    x = 4,047,098.84/2,314.82
  6. Step 6: Final answer
    x = 1,748.34

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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.