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Finding the Fourth Proportional to 2,675.34, 3,692.06 and 1,496.42

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Solution

The fourth proportional to 2,675.34, 3,692.06 and 1,496.42 is: 2,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.34 : 3,692.06 = 1,496.42 : x
  2. Step 2: Convert to fraction form
    2,675.34/3,692.06 = 1,496.42/x
  3. Step 3: Cross multiply
    2,675.34x = 3,692.06 × 1,496.42
  4. Step 4: Simplify right side
    2,675.34x = 5,524,872.43
  5. Step 5: Solve for x
    x = 5,524,872.43/2,675.34
  6. Step 6: Final answer
    x = 2,065.11

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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.