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Finding the Fourth Proportional to 2,032.70, 3,049.85 and 799.90

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Solution

The fourth proportional to 2,032.70, 3,049.85 and 799.90 is: 1,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.70 : 3,049.85 = 799.90 : x
  2. Step 2: Convert to fraction form
    2,032.70/3,049.85 = 799.90/x
  3. Step 3: Cross multiply
    2,032.70x = 3,049.85 × 799.90
  4. Step 4: Simplify right side
    2,032.70x = 2,439,575.02
  5. Step 5: Solve for x
    x = 2,439,575.02/2,032.70
  6. Step 6: Final answer
    x = 1,200.16

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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.