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Finding the Fourth Proportional to 2,003.08, 2,761.12 and 1,964.20

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Solution

The fourth proportional to 2,003.08, 2,761.12 and 1,964.20 is: 2,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.08 : 2,761.12 = 1,964.20 : x
  2. Step 2: Convert to fraction form
    2,003.08/2,761.12 = 1,964.20/x
  3. Step 3: Cross multiply
    2,003.08x = 2,761.12 × 1,964.20
  4. Step 4: Simplify right side
    2,003.08x = 5,423,391.90
  5. Step 5: Solve for x
    x = 5,423,391.90/2,003.08
  6. Step 6: Final answer
    x = 2,707.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.