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Finding the Fourth Proportional to 2,993.01, 4,488.48 and 1,144.65

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Solution

The fourth proportional to 2,993.01, 4,488.48 and 1,144.65 is: 1,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.01 : 4,488.48 = 1,144.65 : x
  2. Step 2: Convert to fraction form
    2,993.01/4,488.48 = 1,144.65/x
  3. Step 3: Cross multiply
    2,993.01x = 4,488.48 × 1,144.65
  4. Step 4: Simplify right side
    2,993.01x = 5,137,738.63
  5. Step 5: Solve for x
    x = 5,137,738.63/2,993.01
  6. Step 6: Final answer
    x = 1,716.58

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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.