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Finding the Fourth Proportional to 2,822.71, 4,213.37 and 2,620.02

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Solution

The fourth proportional to 2,822.71, 4,213.37 and 2,620.02 is: 3,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.71 : 4,213.37 = 2,620.02 : x
  2. Step 2: Convert to fraction form
    2,822.71/4,213.37 = 2,620.02/x
  3. Step 3: Cross multiply
    2,822.71x = 4,213.37 × 2,620.02
  4. Step 4: Simplify right side
    2,822.71x = 11,039,113.67
  5. Step 5: Solve for x
    x = 11,039,113.67/2,822.71
  6. Step 6: Final answer
    x = 3,910.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.