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Finding the Fourth Proportional to 2,032.18, 3,047.40 and 799.39

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Solution

The fourth proportional to 2,032.18, 3,047.40 and 799.39 is: 1,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.18 : 3,047.40 = 799.39 : x
  2. Step 2: Convert to fraction form
    2,032.18/3,047.40 = 799.39/x
  3. Step 3: Cross multiply
    2,032.18x = 3,047.40 × 799.39
  4. Step 4: Simplify right side
    2,032.18x = 2,436,061.09
  5. Step 5: Solve for x
    x = 2,436,061.09/2,032.18
  6. Step 6: Final answer
    x = 1,198.74

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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.