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Finding the Fourth Proportional to 1,692.38, 2,538.84 and 826.76

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Solution

The fourth proportional to 1,692.38, 2,538.84 and 826.76 is: 1,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.38 : 2,538.84 = 826.76 : x
  2. Step 2: Convert to fraction form
    1,692.38/2,538.84 = 826.76/x
  3. Step 3: Cross multiply
    1,692.38x = 2,538.84 × 826.76
  4. Step 4: Simplify right side
    1,692.38x = 2,099,011.36
  5. Step 5: Solve for x
    x = 2,099,011.36/1,692.38
  6. Step 6: Final answer
    x = 1,240.27

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