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Finding the Fourth Proportional to 2,366, 3,549.06 and 827

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Solution

The fourth proportional to 2,366, 3,549.06 and 827 is: 1,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366 : 3,549.06 = 827 : x
  2. Step 2: Convert to fraction form
    2,366/3,549.06 = 827/x
  3. Step 3: Cross multiply
    2,366x = 3,549.06 × 827
  4. Step 4: Simplify right side
    2,366x = 2,935,072.62
  5. Step 5: Solve for x
    x = 2,935,072.62/2,366
  6. Step 6: Final answer
    x = 1,240.52

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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.