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Finding the Fourth Proportional to 2,169.09, 2,993.40 and 1,284.75

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Solution

The fourth proportional to 2,169.09, 2,993.40 and 1,284.75 is: 1,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.09 : 2,993.40 = 1,284.75 : x
  2. Step 2: Convert to fraction form
    2,169.09/2,993.40 = 1,284.75/x
  3. Step 3: Cross multiply
    2,169.09x = 2,993.40 × 1,284.75
  4. Step 4: Simplify right side
    2,169.09x = 3,845,770.65
  5. Step 5: Solve for x
    x = 3,845,770.65/2,169.09
  6. Step 6: Final answer
    x = 1,772.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.