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Finding the Fourth Proportional to 3,231.18, 4,847.13 and 922.86

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Solution

The fourth proportional to 3,231.18, 4,847.13 and 922.86 is: 1,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.18 : 4,847.13 = 922.86 : x
  2. Step 2: Convert to fraction form
    3,231.18/4,847.13 = 922.86/x
  3. Step 3: Cross multiply
    3,231.18x = 4,847.13 × 922.86
  4. Step 4: Simplify right side
    3,231.18x = 4,473,222.39
  5. Step 5: Solve for x
    x = 4,473,222.39/3,231.18
  6. Step 6: Final answer
    x = 1,384.39

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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.