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Finding the Fourth Proportional to 2,062.44, 3,092.94 and 829.53

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Solution

The fourth proportional to 2,062.44, 3,092.94 and 829.53 is: 1,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.44 : 3,092.94 = 829.53 : x
  2. Step 2: Convert to fraction form
    2,062.44/3,092.94 = 829.53/x
  3. Step 3: Cross multiply
    2,062.44x = 3,092.94 × 829.53
  4. Step 4: Simplify right side
    2,062.44x = 2,565,686.52
  5. Step 5: Solve for x
    x = 2,565,686.52/2,062.44
  6. Step 6: Final answer
    x = 1,244.01

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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.