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Finding the Fourth Proportional to 2,799.60, 3,863.84 and 1,604.96

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Solution

The fourth proportional to 2,799.60, 3,863.84 and 1,604.96 is: 2,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.60 : 3,863.84 = 1,604.96 : x
  2. Step 2: Convert to fraction form
    2,799.60/3,863.84 = 1,604.96/x
  3. Step 3: Cross multiply
    2,799.60x = 3,863.84 × 1,604.96
  4. Step 4: Simplify right side
    2,799.60x = 6,201,308.65
  5. Step 5: Solve for x
    x = 6,201,308.65/2,799.60
  6. Step 6: Final answer
    x = 2,215.07

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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.