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Finding the Fourth Proportional to 2,033.68, 3,047.77 and 922.41

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Solution

The fourth proportional to 2,033.68, 3,047.77 and 922.41 is: 1,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.68 : 3,047.77 = 922.41 : x
  2. Step 2: Convert to fraction form
    2,033.68/3,047.77 = 922.41/x
  3. Step 3: Cross multiply
    2,033.68x = 3,047.77 × 922.41
  4. Step 4: Simplify right side
    2,033.68x = 2,811,293.53
  5. Step 5: Solve for x
    x = 2,811,293.53/2,033.68
  6. Step 6: Final answer
    x = 1,382.37

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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.