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Finding the Fourth Proportional to 3,302.94, 4,952.97 and 1,249.50

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Solution

The fourth proportional to 3,302.94, 4,952.97 and 1,249.50 is: 1,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.94 : 4,952.97 = 1,249.50 : x
  2. Step 2: Convert to fraction form
    3,302.94/4,952.97 = 1,249.50/x
  3. Step 3: Cross multiply
    3,302.94x = 4,952.97 × 1,249.50
  4. Step 4: Simplify right side
    3,302.94x = 6,188,736.02
  5. Step 5: Solve for x
    x = 6,188,736.02/3,302.94
  6. Step 6: Final answer
    x = 1,873.71

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.