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Finding the Fourth Proportional to 2,675.85, 3,692.76 and 1,496.91

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Solution

The fourth proportional to 2,675.85, 3,692.76 and 1,496.91 is: 2,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.85 : 3,692.76 = 1,496.91 : x
  2. Step 2: Convert to fraction form
    2,675.85/3,692.76 = 1,496.91/x
  3. Step 3: Cross multiply
    2,675.85x = 3,692.76 × 1,496.91
  4. Step 4: Simplify right side
    2,675.85x = 5,527,729.37
  5. Step 5: Solve for x
    x = 5,527,729.37/2,675.85
  6. Step 6: Final answer
    x = 2,065.78

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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.