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Finding the Fourth Proportional to 2,992.56, 4,490.91 and 1,044.75

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Solution

The fourth proportional to 2,992.56, 4,490.91 and 1,044.75 is: 1,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.56 : 4,490.91 = 1,044.75 : x
  2. Step 2: Convert to fraction form
    2,992.56/4,490.91 = 1,044.75/x
  3. Step 3: Cross multiply
    2,992.56x = 4,490.91 × 1,044.75
  4. Step 4: Simplify right side
    2,992.56x = 4,691,878.22
  5. Step 5: Solve for x
    x = 4,691,878.22/2,992.56
  6. Step 6: Final answer
    x = 1,567.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.