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Finding the Fourth Proportional to 2,000.32, 3,003.28 and 1,027.12

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Solution

The fourth proportional to 2,000.32, 3,003.28 and 1,027.12 is: 1,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.32 : 3,003.28 = 1,027.12 : x
  2. Step 2: Convert to fraction form
    2,000.32/3,003.28 = 1,027.12/x
  3. Step 3: Cross multiply
    2,000.32x = 3,003.28 × 1,027.12
  4. Step 4: Simplify right side
    2,000.32x = 3,084,728.95
  5. Step 5: Solve for x
    x = 3,084,728.95/2,000.32
  6. Step 6: Final answer
    x = 1,542.12

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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.