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Finding the Fourth Proportional to 2,219.16, 3,326.76 and 919.80

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Solution

The fourth proportional to 2,219.16, 3,326.76 and 919.80 is: 1,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.16 : 3,326.76 = 919.80 : x
  2. Step 2: Convert to fraction form
    2,219.16/3,326.76 = 919.80/x
  3. Step 3: Cross multiply
    2,219.16x = 3,326.76 × 919.80
  4. Step 4: Simplify right side
    2,219.16x = 3,059,953.85
  5. Step 5: Solve for x
    x = 3,059,953.85/2,219.16
  6. Step 6: Final answer
    x = 1,378.88

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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.