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Finding the Fourth Proportional to 2,692.53, 3,717.81 and 1,748.97

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Solution

The fourth proportional to 2,692.53, 3,717.81 and 1,748.97 is: 2,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.53 : 3,717.81 = 1,748.97 : x
  2. Step 2: Convert to fraction form
    2,692.53/3,717.81 = 1,748.97/x
  3. Step 3: Cross multiply
    2,692.53x = 3,717.81 × 1,748.97
  4. Step 4: Simplify right side
    2,692.53x = 6,502,338.16
  5. Step 5: Solve for x
    x = 6,502,338.16/2,692.53
  6. Step 6: Final answer
    x = 2,414.95

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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.