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Finding the Fourth Proportional to 2,139.02, 3,207.85 and 822.71

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Solution

The fourth proportional to 2,139.02, 3,207.85 and 822.71 is: 1,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.02 : 3,207.85 = 822.71 : x
  2. Step 2: Convert to fraction form
    2,139.02/3,207.85 = 822.71/x
  3. Step 3: Cross multiply
    2,139.02x = 3,207.85 × 822.71
  4. Step 4: Simplify right side
    2,139.02x = 2,639,122.82
  5. Step 5: Solve for x
    x = 2,639,122.82/2,139.02
  6. Step 6: Final answer
    x = 1,233.80

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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.