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Finding the Fourth Proportional to 2,635.40, 3,952.38 and 991.82

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Solution

The fourth proportional to 2,635.40, 3,952.38 and 991.82 is: 1,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.40 : 3,952.38 = 991.82 : x
  2. Step 2: Convert to fraction form
    2,635.40/3,952.38 = 991.82/x
  3. Step 3: Cross multiply
    2,635.40x = 3,952.38 × 991.82
  4. Step 4: Simplify right side
    2,635.40x = 3,920,049.53
  5. Step 5: Solve for x
    x = 3,920,049.53/2,635.40
  6. Step 6: Final answer
    x = 1,487.46

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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.