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Finding the Fourth Proportional to 2,662.92, 3,673.54 and 2,069.39

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Solution

The fourth proportional to 2,662.92, 3,673.54 and 2,069.39 is: 2,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.92 : 3,673.54 = 2,069.39 : x
  2. Step 2: Convert to fraction form
    2,662.92/3,673.54 = 2,069.39/x
  3. Step 3: Cross multiply
    2,662.92x = 3,673.54 × 2,069.39
  4. Step 4: Simplify right side
    2,662.92x = 7,601,998.71
  5. Step 5: Solve for x
    x = 7,601,998.71/2,662.92
  6. Step 6: Final answer
    x = 2,854.76

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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.