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Finding the Fourth Proportional to 2,041.26, 3,046.23 and 1,822.56

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Solution

The fourth proportional to 2,041.26, 3,046.23 and 1,822.56 is: 2,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.26 : 3,046.23 = 1,822.56 : x
  2. Step 2: Convert to fraction form
    2,041.26/3,046.23 = 1,822.56/x
  3. Step 3: Cross multiply
    2,041.26x = 3,046.23 × 1,822.56
  4. Step 4: Simplify right side
    2,041.26x = 5,551,936.95
  5. Step 5: Solve for x
    x = 5,551,936.95/2,041.26
  6. Step 6: Final answer
    x = 2,719.86

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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.