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Finding the Fourth Proportional to 3,005.78, 4,147.81 and 1,661.31

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Solution

The fourth proportional to 3,005.78, 4,147.81 and 1,661.31 is: 2,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.78 : 4,147.81 = 1,661.31 : x
  2. Step 2: Convert to fraction form
    3,005.78/4,147.81 = 1,661.31/x
  3. Step 3: Cross multiply
    3,005.78x = 4,147.81 × 1,661.31
  4. Step 4: Simplify right side
    3,005.78x = 6,890,794.08
  5. Step 5: Solve for x
    x = 6,890,794.08/3,005.78
  6. Step 6: Final answer
    x = 2,292.52

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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.