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Finding the Fourth Proportional to 2,679.48, 3,682.19 and 2,206.51

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Solution

The fourth proportional to 2,679.48, 3,682.19 and 2,206.51 is: 3,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.48 : 3,682.19 = 2,206.51 : x
  2. Step 2: Convert to fraction form
    2,679.48/3,682.19 = 2,206.51/x
  3. Step 3: Cross multiply
    2,679.48x = 3,682.19 × 2,206.51
  4. Step 4: Simplify right side
    2,679.48x = 8,124,785.37
  5. Step 5: Solve for x
    x = 8,124,785.37/2,679.48
  6. Step 6: Final answer
    x = 3,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.