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Finding the Fourth Proportional to 2,208.73, 3,047.86 and 1,264.30

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Solution

The fourth proportional to 2,208.73, 3,047.86 and 1,264.30 is: 1,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.73 : 3,047.86 = 1,264.30 : x
  2. Step 2: Convert to fraction form
    2,208.73/3,047.86 = 1,264.30/x
  3. Step 3: Cross multiply
    2,208.73x = 3,047.86 × 1,264.30
  4. Step 4: Simplify right side
    2,208.73x = 3,853,414.79
  5. Step 5: Solve for x
    x = 3,853,414.79/2,208.73
  6. Step 6: Final answer
    x = 1,744.63

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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.