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Finding the Fourth Proportional to 3,221.44, 4,832.44 and 912.94

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Solution

The fourth proportional to 3,221.44, 4,832.44 and 912.94 is: 1,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.44 : 4,832.44 = 912.94 : x
  2. Step 2: Convert to fraction form
    3,221.44/4,832.44 = 912.94/x
  3. Step 3: Cross multiply
    3,221.44x = 4,832.44 × 912.94
  4. Step 4: Simplify right side
    3,221.44x = 4,411,713.41
  5. Step 5: Solve for x
    x = 4,411,713.41/3,221.44
  6. Step 6: Final answer
    x = 1,369.49

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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.