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Finding the Fourth Proportional to 2,695.97, 3,721.69 and 1,576.75

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Solution

The fourth proportional to 2,695.97, 3,721.69 and 1,576.75 is: 2,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.97 : 3,721.69 = 1,576.75 : x
  2. Step 2: Convert to fraction form
    2,695.97/3,721.69 = 1,576.75/x
  3. Step 3: Cross multiply
    2,695.97x = 3,721.69 × 1,576.75
  4. Step 4: Simplify right side
    2,695.97x = 5,868,161.46
  5. Step 5: Solve for x
    x = 5,868,161.46/2,695.97
  6. Step 6: Final answer
    x = 2,176.65

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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.