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Finding the Fourth Proportional to 2,227.66, 3,342.29 and 994.96

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Solution

The fourth proportional to 2,227.66, 3,342.29 and 994.96 is: 1,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.66 : 3,342.29 = 994.96 : x
  2. Step 2: Convert to fraction form
    2,227.66/3,342.29 = 994.96/x
  3. Step 3: Cross multiply
    2,227.66x = 3,342.29 × 994.96
  4. Step 4: Simplify right side
    2,227.66x = 3,325,444.86
  5. Step 5: Solve for x
    x = 3,325,444.86/2,227.66
  6. Step 6: Final answer
    x = 1,492.80

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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.