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Finding the Fourth Proportional to 2,664.86, 3,976.76 and 2,340.92

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Solution

The fourth proportional to 2,664.86, 3,976.76 and 2,340.92 is: 3,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.86 : 3,976.76 = 2,340.92 : x
  2. Step 2: Convert to fraction form
    2,664.86/3,976.76 = 2,340.92/x
  3. Step 3: Cross multiply
    2,664.86x = 3,976.76 × 2,340.92
  4. Step 4: Simplify right side
    2,664.86x = 9,309,245.43
  5. Step 5: Solve for x
    x = 9,309,245.43/2,664.86
  6. Step 6: Final answer
    x = 3,493.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.