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Finding the Fourth Proportional to 2,062.39, 3,093.76 and 829.64

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Solution

The fourth proportional to 2,062.39, 3,093.76 and 829.64 is: 1,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.39 : 3,093.76 = 829.64 : x
  2. Step 2: Convert to fraction form
    2,062.39/3,093.76 = 829.64/x
  3. Step 3: Cross multiply
    2,062.39x = 3,093.76 × 829.64
  4. Step 4: Simplify right side
    2,062.39x = 2,566,707.05
  5. Step 5: Solve for x
    x = 2,566,707.05/2,062.39
  6. Step 6: Final answer
    x = 1,244.53

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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.