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Finding the Fourth Proportional to 1,906.94, 2,859.73 and 866.07

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Solution

The fourth proportional to 1,906.94, 2,859.73 and 866.07 is: 1,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.94 : 2,859.73 = 866.07 : x
  2. Step 2: Convert to fraction form
    1,906.94/2,859.73 = 866.07/x
  3. Step 3: Cross multiply
    1,906.94x = 2,859.73 × 866.07
  4. Step 4: Simplify right side
    1,906.94x = 2,476,726.36
  5. Step 5: Solve for x
    x = 2,476,726.36/1,906.94
  6. Step 6: Final answer
    x = 1,298.80

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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.