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Finding the Fourth Proportional to 2,324.74, 3,198.63 and 2,009

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Solution

The fourth proportional to 2,324.74, 3,198.63 and 2,009 is: 2,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.74 : 3,198.63 = 2,009 : x
  2. Step 2: Convert to fraction form
    2,324.74/3,198.63 = 2,009/x
  3. Step 3: Cross multiply
    2,324.74x = 3,198.63 × 2,009
  4. Step 4: Simplify right side
    2,324.74x = 6,426,047.67
  5. Step 5: Solve for x
    x = 6,426,047.67/2,324.74
  6. Step 6: Final answer
    x = 2,764.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.