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Finding the Fourth Proportional to 2,144.60, 3,216.10 and 845.80

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Solution

The fourth proportional to 2,144.60, 3,216.10 and 845.80 is: 1,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.60 : 3,216.10 = 845.80 : x
  2. Step 2: Convert to fraction form
    2,144.60/3,216.10 = 845.80/x
  3. Step 3: Cross multiply
    2,144.60x = 3,216.10 × 845.80
  4. Step 4: Simplify right side
    2,144.60x = 2,720,177.38
  5. Step 5: Solve for x
    x = 2,720,177.38/2,144.60
  6. Step 6: Final answer
    x = 1,268.38

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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.