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Finding the Fourth Proportional to 2,579.40, 3,869.37 and 823.98

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Solution

The fourth proportional to 2,579.40, 3,869.37 and 823.98 is: 1,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.40 : 3,869.37 = 823.98 : x
  2. Step 2: Convert to fraction form
    2,579.40/3,869.37 = 823.98/x
  3. Step 3: Cross multiply
    2,579.40x = 3,869.37 × 823.98
  4. Step 4: Simplify right side
    2,579.40x = 3,188,283.49
  5. Step 5: Solve for x
    x = 3,188,283.49/2,579.40
  6. Step 6: Final answer
    x = 1,236.06

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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.