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Finding the Fourth Proportional to 2,192.08, 3,287.35 and 786.53

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Solution

The fourth proportional to 2,192.08, 3,287.35 and 786.53 is: 1,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.08 : 3,287.35 = 786.53 : x
  2. Step 2: Convert to fraction form
    2,192.08/3,287.35 = 786.53/x
  3. Step 3: Cross multiply
    2,192.08x = 3,287.35 × 786.53
  4. Step 4: Simplify right side
    2,192.08x = 2,585,579.03
  5. Step 5: Solve for x
    x = 2,585,579.03/2,192.08
  6. Step 6: Final answer
    x = 1,179.51

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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.