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Finding the Fourth Proportional to 2,656.29, 3,982.47 and 1,832.22

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Solution

The fourth proportional to 2,656.29, 3,982.47 and 1,832.22 is: 2,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.29 : 3,982.47 = 1,832.22 : x
  2. Step 2: Convert to fraction form
    2,656.29/3,982.47 = 1,832.22/x
  3. Step 3: Cross multiply
    2,656.29x = 3,982.47 × 1,832.22
  4. Step 4: Simplify right side
    2,656.29x = 7,296,754.31
  5. Step 5: Solve for x
    x = 7,296,754.31/2,656.29
  6. Step 6: Final answer
    x = 2,746.97

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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.