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Finding the Fourth Proportional to 1,806.92, 2,709.94 and 766.95

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Solution

The fourth proportional to 1,806.92, 2,709.94 and 766.95 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.92 : 2,709.94 = 766.95 : x
  2. Step 2: Convert to fraction form
    1,806.92/2,709.94 = 766.95/x
  3. Step 3: Cross multiply
    1,806.92x = 2,709.94 × 766.95
  4. Step 4: Simplify right side
    1,806.92x = 2,078,388.48
  5. Step 5: Solve for x
    x = 2,078,388.48/1,806.92
  6. Step 6: Final answer
    x = 1,150.24

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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.