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Finding the Fourth Proportional to 2,144.60, 3,218.61 and 1,840.04

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Solution

The fourth proportional to 2,144.60, 3,218.61 and 1,840.04 is: 2,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.60 : 3,218.61 = 1,840.04 : x
  2. Step 2: Convert to fraction form
    2,144.60/3,218.61 = 1,840.04/x
  3. Step 3: Cross multiply
    2,144.60x = 3,218.61 × 1,840.04
  4. Step 4: Simplify right side
    2,144.60x = 5,922,371.14
  5. Step 5: Solve for x
    x = 5,922,371.14/2,144.60
  6. Step 6: Final answer
    x = 2,761.53

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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.