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Finding the Fourth Proportional to 2,944.34, 4,063.18 and 1,685.39

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Solution

The fourth proportional to 2,944.34, 4,063.18 and 1,685.39 is: 2,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.34 : 4,063.18 = 1,685.39 : x
  2. Step 2: Convert to fraction form
    2,944.34/4,063.18 = 1,685.39/x
  3. Step 3: Cross multiply
    2,944.34x = 4,063.18 × 1,685.39
  4. Step 4: Simplify right side
    2,944.34x = 6,848,044.43
  5. Step 5: Solve for x
    x = 6,848,044.43/2,944.34
  6. Step 6: Final answer
    x = 2,325.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.