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Finding the Fourth Proportional to 2,124.73, 3,187.23 and 663.76

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Solution

The fourth proportional to 2,124.73, 3,187.23 and 663.76 is: 995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.73 : 3,187.23 = 663.76 : x
  2. Step 2: Convert to fraction form
    2,124.73/3,187.23 = 663.76/x
  3. Step 3: Cross multiply
    2,124.73x = 3,187.23 × 663.76
  4. Step 4: Simplify right side
    2,124.73x = 2,115,555.78
  5. Step 5: Solve for x
    x = 2,115,555.78/2,124.73
  6. Step 6: Final answer
    x = 995.68

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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.