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Finding the Fourth Proportional to 2,219.02, 3,327.30 and 919.78

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Solution

The fourth proportional to 2,219.02, 3,327.30 and 919.78 is: 1,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.02 : 3,327.30 = 919.78 : x
  2. Step 2: Convert to fraction form
    2,219.02/3,327.30 = 919.78/x
  3. Step 3: Cross multiply
    2,219.02x = 3,327.30 × 919.78
  4. Step 4: Simplify right side
    2,219.02x = 3,060,383.99
  5. Step 5: Solve for x
    x = 3,060,383.99/2,219.02
  6. Step 6: Final answer
    x = 1,379.16

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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.