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Finding the Fourth Proportional to 3,005.49, 4,503.66 and 1,906.50

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Solution

The fourth proportional to 3,005.49, 4,503.66 and 1,906.50 is: 2,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.49 : 4,503.66 = 1,906.50 : x
  2. Step 2: Convert to fraction form
    3,005.49/4,503.66 = 1,906.50/x
  3. Step 3: Cross multiply
    3,005.49x = 4,503.66 × 1,906.50
  4. Step 4: Simplify right side
    3,005.49x = 8,586,227.79
  5. Step 5: Solve for x
    x = 8,586,227.79/3,005.49
  6. Step 6: Final answer
    x = 2,856.85

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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.