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Finding the Fourth Proportional to 3,044.23, 4,566.83 and 991.75

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Solution

The fourth proportional to 3,044.23, 4,566.83 and 991.75 is: 1,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.23 : 4,566.83 = 991.75 : x
  2. Step 2: Convert to fraction form
    3,044.23/4,566.83 = 991.75/x
  3. Step 3: Cross multiply
    3,044.23x = 4,566.83 × 991.75
  4. Step 4: Simplify right side
    3,044.23x = 4,529,153.65
  5. Step 5: Solve for x
    x = 4,529,153.65/3,044.23
  6. Step 6: Final answer
    x = 1,487.78

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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.