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Finding the Fourth Proportional to 2,124.83, 3,187.24 and 663.98

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Solution

The fourth proportional to 2,124.83, 3,187.24 and 663.98 is: 995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.83 : 3,187.24 = 663.98 : x
  2. Step 2: Convert to fraction form
    2,124.83/3,187.24 = 663.98/x
  3. Step 3: Cross multiply
    2,124.83x = 3,187.24 × 663.98
  4. Step 4: Simplify right side
    2,124.83x = 2,116,269.92
  5. Step 5: Solve for x
    x = 2,116,269.92/2,124.83
  6. Step 6: Final answer
    x = 995.97

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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.