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Finding the Fourth Proportional to 2,226.83, 3,340.25 and 928.31

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Solution

The fourth proportional to 2,226.83, 3,340.25 and 928.31 is: 1,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.83 : 3,340.25 = 928.31 : x
  2. Step 2: Convert to fraction form
    2,226.83/3,340.25 = 928.31/x
  3. Step 3: Cross multiply
    2,226.83x = 3,340.25 × 928.31
  4. Step 4: Simplify right side
    2,226.83x = 3,100,766.13
  5. Step 5: Solve for x
    x = 3,100,766.13/2,226.83
  6. Step 6: Final answer
    x = 1,392.46

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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.