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Finding the Fourth Proportional to 1,692.58, 2,535.96 and 1,521.38

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Solution

The fourth proportional to 1,692.58, 2,535.96 and 1,521.38 is: 2,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.58 : 2,535.96 = 1,521.38 : x
  2. Step 2: Convert to fraction form
    1,692.58/2,535.96 = 1,521.38/x
  3. Step 3: Cross multiply
    1,692.58x = 2,535.96 × 1,521.38
  4. Step 4: Simplify right side
    1,692.58x = 3,858,138.54
  5. Step 5: Solve for x
    x = 3,858,138.54/1,692.58
  6. Step 6: Final answer
    x = 2,279.45

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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.