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Finding the Fourth Proportional to 3,176.49, 4,383.27 and 1,849.71

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Solution

The fourth proportional to 3,176.49, 4,383.27 and 1,849.71 is: 2,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.49 : 4,383.27 = 1,849.71 : x
  2. Step 2: Convert to fraction form
    3,176.49/4,383.27 = 1,849.71/x
  3. Step 3: Cross multiply
    3,176.49x = 4,383.27 × 1,849.71
  4. Step 4: Simplify right side
    3,176.49x = 8,107,778.35
  5. Step 5: Solve for x
    x = 8,107,778.35/3,176.49
  6. Step 6: Final answer
    x = 2,552.43

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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.