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Finding the Fourth Proportional to 1,692.29, 2,538.48 and 581.78

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Solution

The fourth proportional to 1,692.29, 2,538.48 and 581.78 is: 872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.29 : 2,538.48 = 581.78 : x
  2. Step 2: Convert to fraction form
    1,692.29/2,538.48 = 581.78/x
  3. Step 3: Cross multiply
    1,692.29x = 2,538.48 × 581.78
  4. Step 4: Simplify right side
    1,692.29x = 1,476,836.89
  5. Step 5: Solve for x
    x = 1,476,836.89/1,692.29
  6. Step 6: Final answer
    x = 872.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.