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Finding the Fourth Proportional to 1,692.98, 2,535.92 and 1,076.38

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Solution

The fourth proportional to 1,692.98, 2,535.92 and 1,076.38 is: 1,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.98 : 2,535.92 = 1,076.38 : x
  2. Step 2: Convert to fraction form
    1,692.98/2,535.92 = 1,076.38/x
  3. Step 3: Cross multiply
    1,692.98x = 2,535.92 × 1,076.38
  4. Step 4: Simplify right side
    1,692.98x = 2,729,613.57
  5. Step 5: Solve for x
    x = 2,729,613.57/1,692.98
  6. Step 6: Final answer
    x = 1,612.31

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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.