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Finding the Fourth Proportional to 2,663.92, 3,674.92 and 2,070.39

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Solution

The fourth proportional to 2,663.92, 3,674.92 and 2,070.39 is: 2,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.92 : 3,674.92 = 2,070.39 : x
  2. Step 2: Convert to fraction form
    2,663.92/3,674.92 = 2,070.39/x
  3. Step 3: Cross multiply
    2,663.92x = 3,674.92 × 2,070.39
  4. Step 4: Simplify right side
    2,663.92x = 7,608,517.62
  5. Step 5: Solve for x
    x = 7,608,517.62/2,663.92
  6. Step 6: Final answer
    x = 2,856.14

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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.