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Finding the Fourth Proportional to 2,019.83, 2,788.61 and 1,601.87

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Solution

The fourth proportional to 2,019.83, 2,788.61 and 1,601.87 is: 2,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.83 : 2,788.61 = 1,601.87 : x
  2. Step 2: Convert to fraction form
    2,019.83/2,788.61 = 1,601.87/x
  3. Step 3: Cross multiply
    2,019.83x = 2,788.61 × 1,601.87
  4. Step 4: Simplify right side
    2,019.83x = 4,466,982.69
  5. Step 5: Solve for x
    x = 4,466,982.69/2,019.83
  6. Step 6: Final answer
    x = 2,211.56

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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.