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Finding the Fourth Proportional to 2,992.49, 4,490.78 and 1,044.69

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Solution

The fourth proportional to 2,992.49, 4,490.78 and 1,044.69 is: 1,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.49 : 4,490.78 = 1,044.69 : x
  2. Step 2: Convert to fraction form
    2,992.49/4,490.78 = 1,044.69/x
  3. Step 3: Cross multiply
    2,992.49x = 4,490.78 × 1,044.69
  4. Step 4: Simplify right side
    2,992.49x = 4,691,463.23
  5. Step 5: Solve for x
    x = 4,691,463.23/2,992.49
  6. Step 6: Final answer
    x = 1,567.75

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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.