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Finding the Fourth Proportional to 2,125.65, 3,188.57 and 664.83

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Solution

The fourth proportional to 2,125.65, 3,188.57 and 664.83 is: 997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.65 : 3,188.57 = 664.83 : x
  2. Step 2: Convert to fraction form
    2,125.65/3,188.57 = 664.83/x
  3. Step 3: Cross multiply
    2,125.65x = 3,188.57 × 664.83
  4. Step 4: Simplify right side
    2,125.65x = 2,119,853.67
  5. Step 5: Solve for x
    x = 2,119,853.67/2,125.65
  6. Step 6: Final answer
    x = 997.27

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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.