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Finding the Fourth Proportional to 2,127.07, 3,189.38 and 827.02

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Solution

The fourth proportional to 2,127.07, 3,189.38 and 827.02 is: 1,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.07 : 3,189.38 = 827.02 : x
  2. Step 2: Convert to fraction form
    2,127.07/3,189.38 = 827.02/x
  3. Step 3: Cross multiply
    2,127.07x = 3,189.38 × 827.02
  4. Step 4: Simplify right side
    2,127.07x = 2,637,668.94
  5. Step 5: Solve for x
    x = 2,637,668.94/2,127.07
  6. Step 6: Final answer
    x = 1,240.05

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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.