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Finding the Fourth Proportional to 2,150.72, 3,226.41 and 918.13

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Solution

The fourth proportional to 2,150.72, 3,226.41 and 918.13 is: 1,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.72 : 3,226.41 = 918.13 : x
  2. Step 2: Convert to fraction form
    2,150.72/3,226.41 = 918.13/x
  3. Step 3: Cross multiply
    2,150.72x = 3,226.41 × 918.13
  4. Step 4: Simplify right side
    2,150.72x = 2,962,263.81
  5. Step 5: Solve for x
    x = 2,962,263.81/2,150.72
  6. Step 6: Final answer
    x = 1,377.34

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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.