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Finding the Fourth Proportional to 2,765.82, 3,815.49 and 1,586.58

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Solution

The fourth proportional to 2,765.82, 3,815.49 and 1,586.58 is: 2,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.82 : 3,815.49 = 1,586.58 : x
  2. Step 2: Convert to fraction form
    2,765.82/3,815.49 = 1,586.58/x
  3. Step 3: Cross multiply
    2,765.82x = 3,815.49 × 1,586.58
  4. Step 4: Simplify right side
    2,765.82x = 6,053,580.12
  5. Step 5: Solve for x
    x = 6,053,580.12/2,765.82
  6. Step 6: Final answer
    x = 2,188.71

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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.