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Finding the Fourth Proportional to 2,219.66, 3,064.24 and 1,380.64

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Solution

The fourth proportional to 2,219.66, 3,064.24 and 1,380.64 is: 1,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.66 : 3,064.24 = 1,380.64 : x
  2. Step 2: Convert to fraction form
    2,219.66/3,064.24 = 1,380.64/x
  3. Step 3: Cross multiply
    2,219.66x = 3,064.24 × 1,380.64
  4. Step 4: Simplify right side
    2,219.66x = 4,230,605.45
  5. Step 5: Solve for x
    x = 4,230,605.45/2,219.66
  6. Step 6: Final answer
    x = 1,905.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.