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Finding the Fourth Proportional to 2,000.91, 2,759.77 and 1,469.63

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Solution

The fourth proportional to 2,000.91, 2,759.77 and 1,469.63 is: 2,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.91 : 2,759.77 = 1,469.63 : x
  2. Step 2: Convert to fraction form
    2,000.91/2,759.77 = 1,469.63/x
  3. Step 3: Cross multiply
    2,000.91x = 2,759.77 × 1,469.63
  4. Step 4: Simplify right side
    2,000.91x = 4,055,844.01
  5. Step 5: Solve for x
    x = 4,055,844.01/2,000.91
  6. Step 6: Final answer
    x = 2,027.00

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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.