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Finding the Fourth Proportional to 2,695.76, 3,719.40 and 1,576.97

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Solution

The fourth proportional to 2,695.76, 3,719.40 and 1,576.97 is: 2,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.76 : 3,719.40 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    2,695.76/3,719.40 = 1,576.97/x
  3. Step 3: Cross multiply
    2,695.76x = 3,719.40 × 1,576.97
  4. Step 4: Simplify right side
    2,695.76x = 5,865,363.62
  5. Step 5: Solve for x
    x = 5,865,363.62/2,695.76
  6. Step 6: Final answer
    x = 2,175.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.