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Finding the Fourth Proportional to 2,227.83, 3,340.14 and 841.07

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Solution

The fourth proportional to 2,227.83, 3,340.14 and 841.07 is: 1,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.83 : 3,340.14 = 841.07 : x
  2. Step 2: Convert to fraction form
    2,227.83/3,340.14 = 841.07/x
  3. Step 3: Cross multiply
    2,227.83x = 3,340.14 × 841.07
  4. Step 4: Simplify right side
    2,227.83x = 2,809,274.85
  5. Step 5: Solve for x
    x = 2,809,274.85/2,227.83
  6. Step 6: Final answer
    x = 1,260.99

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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.