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Finding the Fourth Proportional to 2,698.72, 4,046.25 and 849.22

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Solution

The fourth proportional to 2,698.72, 4,046.25 and 849.22 is: 1,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.72 : 4,046.25 = 849.22 : x
  2. Step 2: Convert to fraction form
    2,698.72/4,046.25 = 849.22/x
  3. Step 3: Cross multiply
    2,698.72x = 4,046.25 × 849.22
  4. Step 4: Simplify right side
    2,698.72x = 3,436,156.43
  5. Step 5: Solve for x
    x = 3,436,156.43/2,698.72
  6. Step 6: Final answer
    x = 1,273.25

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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.