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Finding the Fourth Proportional to 2,125.64, 3,188.66 and 827.21

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Solution

The fourth proportional to 2,125.64, 3,188.66 and 827.21 is: 1,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.64 : 3,188.66 = 827.21 : x
  2. Step 2: Convert to fraction form
    2,125.64/3,188.66 = 827.21/x
  3. Step 3: Cross multiply
    2,125.64x = 3,188.66 × 827.21
  4. Step 4: Simplify right side
    2,125.64x = 2,637,687.30
  5. Step 5: Solve for x
    x = 2,637,687.30/2,125.64
  6. Step 6: Final answer
    x = 1,240.89

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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.