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Finding the Fourth Proportional to 2,150, 3,220.82 and 1,022.66

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Solution

The fourth proportional to 2,150, 3,220.82 and 1,022.66 is: 1,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150 : 3,220.82 = 1,022.66 : x
  2. Step 2: Convert to fraction form
    2,150/3,220.82 = 1,022.66/x
  3. Step 3: Cross multiply
    2,150x = 3,220.82 × 1,022.66
  4. Step 4: Simplify right side
    2,150x = 3,293,803.78
  5. Step 5: Solve for x
    x = 3,293,803.78/2,150
  6. Step 6: Final answer
    x = 1,532.00

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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.