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Finding the Fourth Proportional to 3,122.92, 4,680.47 and 2,009.37

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Solution

The fourth proportional to 3,122.92, 4,680.47 and 2,009.37 is: 3,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.92 : 4,680.47 = 2,009.37 : x
  2. Step 2: Convert to fraction form
    3,122.92/4,680.47 = 2,009.37/x
  3. Step 3: Cross multiply
    3,122.92x = 4,680.47 × 2,009.37
  4. Step 4: Simplify right side
    3,122.92x = 9,404,796.00
  5. Step 5: Solve for x
    x = 9,404,796.00/3,122.92
  6. Step 6: Final answer
    x = 3,011.54

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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.