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Finding the Fourth Proportional to 3,199.80, 4,800.02 and 1,147.32

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Solution

The fourth proportional to 3,199.80, 4,800.02 and 1,147.32 is: 1,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.80 : 4,800.02 = 1,147.32 : x
  2. Step 2: Convert to fraction form
    3,199.80/4,800.02 = 1,147.32/x
  3. Step 3: Cross multiply
    3,199.80x = 4,800.02 × 1,147.32
  4. Step 4: Simplify right side
    3,199.80x = 5,507,158.95
  5. Step 5: Solve for x
    x = 5,507,158.95/3,199.80
  6. Step 6: Final answer
    x = 1,721.09

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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.