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Finding the Fourth Proportional to 2,459.87, 3,397.68 and 1,786.62

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Solution

The fourth proportional to 2,459.87, 3,397.68 and 1,786.62 is: 2,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.87 : 3,397.68 = 1,786.62 : x
  2. Step 2: Convert to fraction form
    2,459.87/3,397.68 = 1,786.62/x
  3. Step 3: Cross multiply
    2,459.87x = 3,397.68 × 1,786.62
  4. Step 4: Simplify right side
    2,459.87x = 6,070,375.78
  5. Step 5: Solve for x
    x = 6,070,375.78/2,459.87
  6. Step 6: Final answer
    x = 2,467.76

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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.