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Finding the Fourth Proportional to 2,227.94, 3,340.17 and 841.22

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Solution

The fourth proportional to 2,227.94, 3,340.17 and 841.22 is: 1,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.94 : 3,340.17 = 841.22 : x
  2. Step 2: Convert to fraction form
    2,227.94/3,340.17 = 841.22/x
  3. Step 3: Cross multiply
    2,227.94x = 3,340.17 × 841.22
  4. Step 4: Simplify right side
    2,227.94x = 2,809,817.81
  5. Step 5: Solve for x
    x = 2,809,817.81/2,227.94
  6. Step 6: Final answer
    x = 1,261.17

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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.