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Finding the Fourth Proportional to 2,125.60, 3,188.20 and 663.96

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Solution

The fourth proportional to 2,125.60, 3,188.20 and 663.96 is: 995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.60 : 3,188.20 = 663.96 : x
  2. Step 2: Convert to fraction form
    2,125.60/3,188.20 = 663.96/x
  3. Step 3: Cross multiply
    2,125.60x = 3,188.20 × 663.96
  4. Step 4: Simplify right side
    2,125.60x = 2,116,837.27
  5. Step 5: Solve for x
    x = 2,116,837.27/2,125.60
  6. Step 6: Final answer
    x = 995.88

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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.