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Finding the Fourth Proportional to 2,133.79, 3,212.21 and 1,919.22

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Solution

The fourth proportional to 2,133.79, 3,212.21 and 1,919.22 is: 2,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.79 : 3,212.21 = 1,919.22 : x
  2. Step 2: Convert to fraction form
    2,133.79/3,212.21 = 1,919.22/x
  3. Step 3: Cross multiply
    2,133.79x = 3,212.21 × 1,919.22
  4. Step 4: Simplify right side
    2,133.79x = 6,164,940.91
  5. Step 5: Solve for x
    x = 6,164,940.91/2,133.79
  6. Step 6: Final answer
    x = 2,889.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.