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Finding the Fourth Proportional to 2,169.25, 2,993.57 and 1,237.75

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Solution

The fourth proportional to 2,169.25, 2,993.57 and 1,237.75 is: 1,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.25 : 2,993.57 = 1,237.75 : x
  2. Step 2: Convert to fraction form
    2,169.25/2,993.57 = 1,237.75/x
  3. Step 3: Cross multiply
    2,169.25x = 2,993.57 × 1,237.75
  4. Step 4: Simplify right side
    2,169.25x = 3,705,291.27
  5. Step 5: Solve for x
    x = 3,705,291.27/2,169.25
  6. Step 6: Final answer
    x = 1,708.10

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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.