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Finding the Fourth Proportional to 2,144.33, 3,209.19 and 1,798.06

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Solution

The fourth proportional to 2,144.33, 3,209.19 and 1,798.06 is: 2,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.33 : 3,209.19 = 1,798.06 : x
  2. Step 2: Convert to fraction form
    2,144.33/3,209.19 = 1,798.06/x
  3. Step 3: Cross multiply
    2,144.33x = 3,209.19 × 1,798.06
  4. Step 4: Simplify right side
    2,144.33x = 5,770,300.13
  5. Step 5: Solve for x
    x = 5,770,300.13/2,144.33
  6. Step 6: Final answer
    x = 2,690.96

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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.