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Finding the Fourth Proportional to 3,141.72, 4,712.22 and 949.92

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Solution

The fourth proportional to 3,141.72, 4,712.22 and 949.92 is: 1,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.72 : 4,712.22 = 949.92 : x
  2. Step 2: Convert to fraction form
    3,141.72/4,712.22 = 949.92/x
  3. Step 3: Cross multiply
    3,141.72x = 4,712.22 × 949.92
  4. Step 4: Simplify right side
    3,141.72x = 4,476,232.02
  5. Step 5: Solve for x
    x = 4,476,232.02/3,141.72
  6. Step 6: Final answer
    x = 1,424.77

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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.