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Finding the Fourth Proportional to 2,032.03, 3,046.65 and 799.58

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Solution

The fourth proportional to 2,032.03, 3,046.65 and 799.58 is: 1,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.03 : 3,046.65 = 799.58 : x
  2. Step 2: Convert to fraction form
    2,032.03/3,046.65 = 799.58/x
  3. Step 3: Cross multiply
    2,032.03x = 3,046.65 × 799.58
  4. Step 4: Simplify right side
    2,032.03x = 2,436,045.03
  5. Step 5: Solve for x
    x = 2,436,045.03/2,032.03
  6. Step 6: Final answer
    x = 1,198.82

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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.