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Finding the Fourth Proportional to 2,866.62, 3,956.10 and 1,608.08

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Solution

The fourth proportional to 2,866.62, 3,956.10 and 1,608.08 is: 2,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.62 : 3,956.10 = 1,608.08 : x
  2. Step 2: Convert to fraction form
    2,866.62/3,956.10 = 1,608.08/x
  3. Step 3: Cross multiply
    2,866.62x = 3,956.10 × 1,608.08
  4. Step 4: Simplify right side
    2,866.62x = 6,361,725.29
  5. Step 5: Solve for x
    x = 6,361,725.29/2,866.62
  6. Step 6: Final answer
    x = 2,219.24

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Why These Related Problems?

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