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Finding the Fourth Proportional to 1,999.20, 2,760.27 and 1,788.75

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Solution

The fourth proportional to 1,999.20, 2,760.27 and 1,788.75 is: 2,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.20 : 2,760.27 = 1,788.75 : x
  2. Step 2: Convert to fraction form
    1,999.20/2,760.27 = 1,788.75/x
  3. Step 3: Cross multiply
    1,999.20x = 2,760.27 × 1,788.75
  4. Step 4: Simplify right side
    1,999.20x = 4,937,432.96
  5. Step 5: Solve for x
    x = 4,937,432.96/1,999.20
  6. Step 6: Final answer
    x = 2,469.70

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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.