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Finding the Fourth Proportional to 2,124.13, 3,186.80 and 663.43

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Solution

The fourth proportional to 2,124.13, 3,186.80 and 663.43 is: 995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.13 : 3,186.80 = 663.43 : x
  2. Step 2: Convert to fraction form
    2,124.13/3,186.80 = 663.43/x
  3. Step 3: Cross multiply
    2,124.13x = 3,186.80 × 663.43
  4. Step 4: Simplify right side
    2,124.13x = 2,114,218.72
  5. Step 5: Solve for x
    x = 2,114,218.72/2,124.13
  6. Step 6: Final answer
    x = 995.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.