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Finding the Fourth Proportional to 2,944.94, 4,064.02 and 1,618.73

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Solution

The fourth proportional to 2,944.94, 4,064.02 and 1,618.73 is: 2,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.94 : 4,064.02 = 1,618.73 : x
  2. Step 2: Convert to fraction form
    2,944.94/4,064.02 = 1,618.73/x
  3. Step 3: Cross multiply
    2,944.94x = 4,064.02 × 1,618.73
  4. Step 4: Simplify right side
    2,944.94x = 6,578,551.09
  5. Step 5: Solve for x
    x = 6,578,551.09/2,944.94
  6. Step 6: Final answer
    x = 2,233.85

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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.