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Finding the Fourth Proportional to 2,991.26, 4,488.50 and 1,452.26

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Solution

The fourth proportional to 2,991.26, 4,488.50 and 1,452.26 is: 2,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.26 : 4,488.50 = 1,452.26 : x
  2. Step 2: Convert to fraction form
    2,991.26/4,488.50 = 1,452.26/x
  3. Step 3: Cross multiply
    2,991.26x = 4,488.50 × 1,452.26
  4. Step 4: Simplify right side
    2,991.26x = 6,518,469.01
  5. Step 5: Solve for x
    x = 6,518,469.01/2,991.26
  6. Step 6: Final answer
    x = 2,179.17

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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.