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Finding the Fourth Proportional to 3,840.80, 5,761.20 and 1,992.20

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Solution

The fourth proportional to 3,840.80, 5,761.20 and 1,992.20 is: 2,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.80 : 5,761.20 = 1,992.20 : x
  2. Step 2: Convert to fraction form
    3,840.80/5,761.20 = 1,992.20/x
  3. Step 3: Cross multiply
    3,840.80x = 5,761.20 × 1,992.20
  4. Step 4: Simplify right side
    3,840.80x = 11,477,462.64
  5. Step 5: Solve for x
    x = 11,477,462.64/3,840.80
  6. Step 6: Final answer
    x = 2,988.30

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1.5x scale

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.