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Finding the Fourth Proportional to 2,150.58, 3,226.19 and 918.30

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Solution

The fourth proportional to 2,150.58, 3,226.19 and 918.30 is: 1,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.58 : 3,226.19 = 918.30 : x
  2. Step 2: Convert to fraction form
    2,150.58/3,226.19 = 918.30/x
  3. Step 3: Cross multiply
    2,150.58x = 3,226.19 × 918.30
  4. Step 4: Simplify right side
    2,150.58x = 2,962,605.69
  5. Step 5: Solve for x
    x = 2,962,605.69/2,150.58
  6. Step 6: Final answer
    x = 1,377.58

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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.