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Finding the Fourth Proportional to 3,001.92, 4,144.17 and 1,884.51

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Solution

The fourth proportional to 3,001.92, 4,144.17 and 1,884.51 is: 2,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.92 : 4,144.17 = 1,884.51 : x
  2. Step 2: Convert to fraction form
    3,001.92/4,144.17 = 1,884.51/x
  3. Step 3: Cross multiply
    3,001.92x = 4,144.17 × 1,884.51
  4. Step 4: Simplify right side
    3,001.92x = 7,809,729.81
  5. Step 5: Solve for x
    x = 7,809,729.81/3,001.92
  6. Step 6: Final answer
    x = 2,601.58

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