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Finding the Fourth Proportional to 2,488.25, 3,732.46 and 822.41

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Solution

The fourth proportional to 2,488.25, 3,732.46 and 822.41 is: 1,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.25 : 3,732.46 = 822.41 : x
  2. Step 2: Convert to fraction form
    2,488.25/3,732.46 = 822.41/x
  3. Step 3: Cross multiply
    2,488.25x = 3,732.46 × 822.41
  4. Step 4: Simplify right side
    2,488.25x = 3,069,608.32
  5. Step 5: Solve for x
    x = 3,069,608.32/2,488.25
  6. Step 6: Final answer
    x = 1,233.64

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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.