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Finding the Fourth Proportional to 2,944.65, 4,063.44 and 1,685.79

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Solution

The fourth proportional to 2,944.65, 4,063.44 and 1,685.79 is: 2,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.65 : 4,063.44 = 1,685.79 : x
  2. Step 2: Convert to fraction form
    2,944.65/4,063.44 = 1,685.79/x
  3. Step 3: Cross multiply
    2,944.65x = 4,063.44 × 1,685.79
  4. Step 4: Simplify right side
    2,944.65x = 6,850,106.52
  5. Step 5: Solve for x
    x = 6,850,106.52/2,944.65
  6. Step 6: Final answer
    x = 2,326.29

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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.