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Finding the Fourth Proportional to 2,738.16, 3,776.04 and 1,843.92

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Solution

The fourth proportional to 2,738.16, 3,776.04 and 1,843.92 is: 2,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.16 : 3,776.04 = 1,843.92 : x
  2. Step 2: Convert to fraction form
    2,738.16/3,776.04 = 1,843.92/x
  3. Step 3: Cross multiply
    2,738.16x = 3,776.04 × 1,843.92
  4. Step 4: Simplify right side
    2,738.16x = 6,962,715.68
  5. Step 5: Solve for x
    x = 6,962,715.68/2,738.16
  6. Step 6: Final answer
    x = 2,542.84

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1.5x scale

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.