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Finding the Fourth Proportional to 3,086.68, 4,624.14 and 1,834.62

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Solution

The fourth proportional to 3,086.68, 4,624.14 and 1,834.62 is: 2,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.68 : 4,624.14 = 1,834.62 : x
  2. Step 2: Convert to fraction form
    3,086.68/4,624.14 = 1,834.62/x
  3. Step 3: Cross multiply
    3,086.68x = 4,624.14 × 1,834.62
  4. Step 4: Simplify right side
    3,086.68x = 8,483,516.61
  5. Step 5: Solve for x
    x = 8,483,516.61/3,086.68
  6. Step 6: Final answer
    x = 2,748.43

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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.