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Finding the Fourth Proportional to 2,993.04, 4,488.50 and 1,144.68

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Solution

The fourth proportional to 2,993.04, 4,488.50 and 1,144.68 is: 1,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.04 : 4,488.50 = 1,144.68 : x
  2. Step 2: Convert to fraction form
    2,993.04/4,488.50 = 1,144.68/x
  3. Step 3: Cross multiply
    2,993.04x = 4,488.50 × 1,144.68
  4. Step 4: Simplify right side
    2,993.04x = 5,137,896.18
  5. Step 5: Solve for x
    x = 5,137,896.18/2,993.04
  6. Step 6: Final answer
    x = 1,716.61

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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.