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Finding the Fourth Proportional to 2,314.54, 3,194.06 and 1,266.60

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Solution

The fourth proportional to 2,314.54, 3,194.06 and 1,266.60 is: 1,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.54 : 3,194.06 = 1,266.60 : x
  2. Step 2: Convert to fraction form
    2,314.54/3,194.06 = 1,266.60/x
  3. Step 3: Cross multiply
    2,314.54x = 3,194.06 × 1,266.60
  4. Step 4: Simplify right side
    2,314.54x = 4,045,596.40
  5. Step 5: Solve for x
    x = 4,045,596.40/2,314.54
  6. Step 6: Final answer
    x = 1,747.91

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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.