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Finding the Fourth Proportional to 2,992.94, 4,132.67 and 1,931.23

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Solution

The fourth proportional to 2,992.94, 4,132.67 and 1,931.23 is: 2,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.94 : 4,132.67 = 1,931.23 : x
  2. Step 2: Convert to fraction form
    2,992.94/4,132.67 = 1,931.23/x
  3. Step 3: Cross multiply
    2,992.94x = 4,132.67 × 1,931.23
  4. Step 4: Simplify right side
    2,992.94x = 7,981,115.62
  5. Step 5: Solve for x
    x = 7,981,115.62/2,992.94
  6. Step 6: Final answer
    x = 2,666.65

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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.