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Finding the Fourth Proportional to 1,992.09, 2,986.49 and 951.57

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Solution

The fourth proportional to 1,992.09, 2,986.49 and 951.57 is: 1,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.09 : 2,986.49 = 951.57 : x
  2. Step 2: Convert to fraction form
    1,992.09/2,986.49 = 951.57/x
  3. Step 3: Cross multiply
    1,992.09x = 2,986.49 × 951.57
  4. Step 4: Simplify right side
    1,992.09x = 2,841,849.53
  5. Step 5: Solve for x
    x = 2,841,849.53/1,992.09
  6. Step 6: Final answer
    x = 1,426.57

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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.