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Finding the Fourth Proportional to 1,392.08, 1,922.84 and 1,226.88

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Solution

The fourth proportional to 1,392.08, 1,922.84 and 1,226.88 is: 1,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.08 : 1,922.84 = 1,226.88 : x
  2. Step 2: Convert to fraction form
    1,392.08/1,922.84 = 1,226.88/x
  3. Step 3: Cross multiply
    1,392.08x = 1,922.84 × 1,226.88
  4. Step 4: Simplify right side
    1,392.08x = 2,359,093.94
  5. Step 5: Solve for x
    x = 2,359,093.94/1,392.08
  6. Step 6: Final answer
    x = 1,694.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.