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Finding the Fourth Proportional to 2,125.10, 3,189.51 and 827.48

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Solution

The fourth proportional to 2,125.10, 3,189.51 and 827.48 is: 1,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.10 : 3,189.51 = 827.48 : x
  2. Step 2: Convert to fraction form
    2,125.10/3,189.51 = 827.48/x
  3. Step 3: Cross multiply
    2,125.10x = 3,189.51 × 827.48
  4. Step 4: Simplify right side
    2,125.10x = 2,639,263.71
  5. Step 5: Solve for x
    x = 2,639,263.71/2,125.10
  6. Step 6: Final answer
    x = 1,241.95

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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.