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Finding the Fourth Proportional to 3,100.35, 4,651.34 and 1,800.71

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Solution

The fourth proportional to 3,100.35, 4,651.34 and 1,800.71 is: 2,701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.35 : 4,651.34 = 1,800.71 : x
  2. Step 2: Convert to fraction form
    3,100.35/4,651.34 = 1,800.71/x
  3. Step 3: Cross multiply
    3,100.35x = 4,651.34 × 1,800.71
  4. Step 4: Simplify right side
    3,100.35x = 8,375,682.19
  5. Step 5: Solve for x
    x = 8,375,682.19/3,100.35
  6. Step 6: Final answer
    x = 2,701.53

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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.