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Finding the Fourth Proportional to 2,944.84, 4,063.83 and 1,765.93

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Solution

The fourth proportional to 2,944.84, 4,063.83 and 1,765.93 is: 2,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.84 : 4,063.83 = 1,765.93 : x
  2. Step 2: Convert to fraction form
    2,944.84/4,063.83 = 1,765.93/x
  3. Step 3: Cross multiply
    2,944.84x = 4,063.83 × 1,765.93
  4. Step 4: Simplify right side
    2,944.84x = 7,176,439.31
  5. Step 5: Solve for x
    x = 7,176,439.31/2,944.84
  6. Step 6: Final answer
    x = 2,436.95

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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.