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Finding the Fourth Proportional to 2,675.78, 3,692.63 and 1,496.83

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Solution

The fourth proportional to 2,675.78, 3,692.63 and 1,496.83 is: 2,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.78 : 3,692.63 = 1,496.83 : x
  2. Step 2: Convert to fraction form
    2,675.78/3,692.63 = 1,496.83/x
  3. Step 3: Cross multiply
    2,675.78x = 3,692.63 × 1,496.83
  4. Step 4: Simplify right side
    2,675.78x = 5,527,213.42
  5. Step 5: Solve for x
    x = 5,527,213.42/2,675.78
  6. Step 6: Final answer
    x = 2,065.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.