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Finding the Fourth Proportional to 2,226.39, 3,340.00 and 840.14

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Solution

The fourth proportional to 2,226.39, 3,340.00 and 840.14 is: 1,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.39 : 3,340.00 = 840.14 : x
  2. Step 2: Convert to fraction form
    2,226.39/3,340.00 = 840.14/x
  3. Step 3: Cross multiply
    2,226.39x = 3,340.00 × 840.14
  4. Step 4: Simplify right side
    2,226.39x = 2,806,064.48
  5. Step 5: Solve for x
    x = 2,806,064.48/2,226.39
  6. Step 6: Final answer
    x = 1,260.37

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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.