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Finding the Fourth Proportional to 1,906.39, 2,860.49 and 866.71

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Solution

The fourth proportional to 1,906.39, 2,860.49 and 866.71 is: 1,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.39 : 2,860.49 = 866.71 : x
  2. Step 2: Convert to fraction form
    1,906.39/2,860.49 = 866.71/x
  3. Step 3: Cross multiply
    1,906.39x = 2,860.49 × 866.71
  4. Step 4: Simplify right side
    1,906.39x = 2,479,215.29
  5. Step 5: Solve for x
    x = 2,479,215.29/1,906.39
  6. Step 6: Final answer
    x = 1,300.48

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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.