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Finding the Fourth Proportional to 2,825.94, 4,221.56 and 2,039.22

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Solution

The fourth proportional to 2,825.94, 4,221.56 and 2,039.22 is: 3,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.94 : 4,221.56 = 2,039.22 : x
  2. Step 2: Convert to fraction form
    2,825.94/4,221.56 = 2,039.22/x
  3. Step 3: Cross multiply
    2,825.94x = 4,221.56 × 2,039.22
  4. Step 4: Simplify right side
    2,825.94x = 8,608,689.58
  5. Step 5: Solve for x
    x = 8,608,689.58/2,825.94
  6. Step 6: Final answer
    x = 3,046.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.