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Finding the Fourth Proportional to 2,032.50, 3,049.08 and 799.92

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Solution

The fourth proportional to 2,032.50, 3,049.08 and 799.92 is: 1,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.50 : 3,049.08 = 799.92 : x
  2. Step 2: Convert to fraction form
    2,032.50/3,049.08 = 799.92/x
  3. Step 3: Cross multiply
    2,032.50x = 3,049.08 × 799.92
  4. Step 4: Simplify right side
    2,032.50x = 2,439,020.07
  5. Step 5: Solve for x
    x = 2,439,020.07/2,032.50
  6. Step 6: Final answer
    x = 1,200.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.