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Finding the Fourth Proportional to 2,151.07, 3,226.83 and 918.61

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Solution

The fourth proportional to 2,151.07, 3,226.83 and 918.61 is: 1,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.07 : 3,226.83 = 918.61 : x
  2. Step 2: Convert to fraction form
    2,151.07/3,226.83 = 918.61/x
  3. Step 3: Cross multiply
    2,151.07x = 3,226.83 × 918.61
  4. Step 4: Simplify right side
    2,151.07x = 2,964,198.31
  5. Step 5: Solve for x
    x = 2,964,198.31/2,151.07
  6. Step 6: Final answer
    x = 1,378.01

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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.