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Finding the Fourth Proportional to 3,009.76, 4,516.48 and 2,131.68

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Solution

The fourth proportional to 3,009.76, 4,516.48 and 2,131.68 is: 3,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.76 : 4,516.48 = 2,131.68 : x
  2. Step 2: Convert to fraction form
    3,009.76/4,516.48 = 2,131.68/x
  3. Step 3: Cross multiply
    3,009.76x = 4,516.48 × 2,131.68
  4. Step 4: Simplify right side
    3,009.76x = 9,627,690.09
  5. Step 5: Solve for x
    x = 9,627,690.09/3,009.76
  6. Step 6: Final answer
    x = 3,198.82

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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.