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Finding the Fourth Proportional to 1,691.38, 2,335.26 and 1,297.72

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Solution

The fourth proportional to 1,691.38, 2,335.26 and 1,297.72 is: 1,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.38 : 2,335.26 = 1,297.72 : x
  2. Step 2: Convert to fraction form
    1,691.38/2,335.26 = 1,297.72/x
  3. Step 3: Cross multiply
    1,691.38x = 2,335.26 × 1,297.72
  4. Step 4: Simplify right side
    1,691.38x = 3,030,513.61
  5. Step 5: Solve for x
    x = 3,030,513.61/1,691.38
  6. Step 6: Final answer
    x = 1,791.74

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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.