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Finding the Fourth Proportional to 2,636.38, 3,952.38 and 992.02

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Solution

The fourth proportional to 2,636.38, 3,952.38 and 992.02 is: 1,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.38 : 3,952.38 = 992.02 : x
  2. Step 2: Convert to fraction form
    2,636.38/3,952.38 = 992.02/x
  3. Step 3: Cross multiply
    2,636.38x = 3,952.38 × 992.02
  4. Step 4: Simplify right side
    2,636.38x = 3,920,840.01
  5. Step 5: Solve for x
    x = 3,920,840.01/2,636.38
  6. Step 6: Final answer
    x = 1,487.21

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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.