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Finding the Fourth Proportional to 2,144.22, 3,218.04 and 846.60

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Solution

The fourth proportional to 2,144.22, 3,218.04 and 846.60 is: 1,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.22 : 3,218.04 = 846.60 : x
  2. Step 2: Convert to fraction form
    2,144.22/3,218.04 = 846.60/x
  3. Step 3: Cross multiply
    2,144.22x = 3,218.04 × 846.60
  4. Step 4: Simplify right side
    2,144.22x = 2,724,392.66
  5. Step 5: Solve for x
    x = 2,724,392.66/2,144.22
  6. Step 6: Final answer
    x = 1,270.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.