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Finding the Fourth Proportional to 2,124.69, 3,187.20 and 663.84

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Solution

The fourth proportional to 2,124.69, 3,187.20 and 663.84 is: 995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.69 : 3,187.20 = 663.84 : x
  2. Step 2: Convert to fraction form
    2,124.69/3,187.20 = 663.84/x
  3. Step 3: Cross multiply
    2,124.69x = 3,187.20 × 663.84
  4. Step 4: Simplify right side
    2,124.69x = 2,115,790.85
  5. Step 5: Solve for x
    x = 2,115,790.85/2,124.69
  6. Step 6: Final answer
    x = 995.81

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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.