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Finding the Fourth Proportional to 3,166.92, 4,747 and 1,608.08

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Solution

The fourth proportional to 3,166.92, 4,747 and 1,608.08 is: 2,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.92 : 4,747 = 1,608.08 : x
  2. Step 2: Convert to fraction form
    3,166.92/4,747 = 1,608.08/x
  3. Step 3: Cross multiply
    3,166.92x = 4,747 × 1,608.08
  4. Step 4: Simplify right side
    3,166.92x = 7,633,555.76
  5. Step 5: Solve for x
    x = 7,633,555.76/3,166.92
  6. Step 6: Final answer
    x = 2,410.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.