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Finding the Fourth Proportional to 3,227.60, 4,838.70 and 1,688.60

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Solution

The fourth proportional to 3,227.60, 4,838.70 and 1,688.60 is: 2,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.60 : 4,838.70 = 1,688.60 : x
  2. Step 2: Convert to fraction form
    3,227.60/4,838.70 = 1,688.60/x
  3. Step 3: Cross multiply
    3,227.60x = 4,838.70 × 1,688.60
  4. Step 4: Simplify right side
    3,227.60x = 8,170,628.82
  5. Step 5: Solve for x
    x = 8,170,628.82/3,227.60
  6. Step 6: Final answer
    x = 2,531.49

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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.