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Finding the Fourth Proportional to 3,233.86, 4,850.07 and 924.82

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Solution

The fourth proportional to 3,233.86, 4,850.07 and 924.82 is: 1,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.86 : 4,850.07 = 924.82 : x
  2. Step 2: Convert to fraction form
    3,233.86/4,850.07 = 924.82/x
  3. Step 3: Cross multiply
    3,233.86x = 4,850.07 × 924.82
  4. Step 4: Simplify right side
    3,233.86x = 4,485,441.74
  5. Step 5: Solve for x
    x = 4,485,441.74/3,233.86
  6. Step 6: Final answer
    x = 1,387.02

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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.