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Finding the Fourth Proportional to 2,944.69, 4,062.49 and 1,685.54

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Solution

The fourth proportional to 2,944.69, 4,062.49 and 1,685.54 is: 2,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.69 : 4,062.49 = 1,685.54 : x
  2. Step 2: Convert to fraction form
    2,944.69/4,062.49 = 1,685.54/x
  3. Step 3: Cross multiply
    2,944.69x = 4,062.49 × 1,685.54
  4. Step 4: Simplify right side
    2,944.69x = 6,847,495.34
  5. Step 5: Solve for x
    x = 6,847,495.34/2,944.69
  6. Step 6: Final answer
    x = 2,325.37

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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.