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Finding the Fourth Proportional to 2,144.20, 3,216.78 and 846.04

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Solution

The fourth proportional to 2,144.20, 3,216.78 and 846.04 is: 1,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.20 : 3,216.78 = 846.04 : x
  2. Step 2: Convert to fraction form
    2,144.20/3,216.78 = 846.04/x
  3. Step 3: Cross multiply
    2,144.20x = 3,216.78 × 846.04
  4. Step 4: Simplify right side
    2,144.20x = 2,721,524.55
  5. Step 5: Solve for x
    x = 2,721,524.55/2,144.20
  6. Step 6: Final answer
    x = 1,269.25

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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.