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Finding the Fourth Proportional to 2,218.24, 3,325.74 and 919

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Solution

The fourth proportional to 2,218.24, 3,325.74 and 919 is: 1,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.24 : 3,325.74 = 919 : x
  2. Step 2: Convert to fraction form
    2,218.24/3,325.74 = 919/x
  3. Step 3: Cross multiply
    2,218.24x = 3,325.74 × 919
  4. Step 4: Simplify right side
    2,218.24x = 3,056,355.06
  5. Step 5: Solve for x
    x = 3,056,355.06/2,218.24
  6. Step 6: Final answer
    x = 1,377.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.