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Finding the Fourth Proportional to 2,125.58, 3,188.36 and 664.73

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Solution

The fourth proportional to 2,125.58, 3,188.36 and 664.73 is: 997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.58 : 3,188.36 = 664.73 : x
  2. Step 2: Convert to fraction form
    2,125.58/3,188.36 = 664.73/x
  3. Step 3: Cross multiply
    2,125.58x = 3,188.36 × 664.73
  4. Step 4: Simplify right side
    2,125.58x = 2,119,408.18
  5. Step 5: Solve for x
    x = 2,119,408.18/2,125.58
  6. Step 6: Final answer
    x = 997.10

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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.