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Finding the Fourth Proportional to 2,846.97, 4,272.08 and 2,273.49

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Solution

The fourth proportional to 2,846.97, 4,272.08 and 2,273.49 is: 3,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.97 : 4,272.08 = 2,273.49 : x
  2. Step 2: Convert to fraction form
    2,846.97/4,272.08 = 2,273.49/x
  3. Step 3: Cross multiply
    2,846.97x = 4,272.08 × 2,273.49
  4. Step 4: Simplify right side
    2,846.97x = 9,712,531.16
  5. Step 5: Solve for x
    x = 9,712,531.16/2,846.97
  6. Step 6: Final answer
    x = 3,411.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.