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Finding the Fourth Proportional to 1,880.92, 2,822.39 and 786.04

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Solution

The fourth proportional to 1,880.92, 2,822.39 and 786.04 is: 1,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.92 : 2,822.39 = 786.04 : x
  2. Step 2: Convert to fraction form
    1,880.92/2,822.39 = 786.04/x
  3. Step 3: Cross multiply
    1,880.92x = 2,822.39 × 786.04
  4. Step 4: Simplify right side
    1,880.92x = 2,218,511.44
  5. Step 5: Solve for x
    x = 2,218,511.44/1,880.92
  6. Step 6: Final answer
    x = 1,179.48

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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.