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Finding the Fourth Proportional to 2,182.08, 3,272.13 and 795

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Solution

The fourth proportional to 2,182.08, 3,272.13 and 795 is: 1,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.08 : 3,272.13 = 795 : x
  2. Step 2: Convert to fraction form
    2,182.08/3,272.13 = 795/x
  3. Step 3: Cross multiply
    2,182.08x = 3,272.13 × 795
  4. Step 4: Simplify right side
    2,182.08x = 2,601,343.35
  5. Step 5: Solve for x
    x = 2,601,343.35/2,182.08
  6. Step 6: Final answer
    x = 1,192.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.