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Finding the Fourth Proportional to 1,815.52, 2,723.28 and 789.52

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Solution

The fourth proportional to 1,815.52, 2,723.28 and 789.52 is: 1,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.52 : 2,723.28 = 789.52 : x
  2. Step 2: Convert to fraction form
    1,815.52/2,723.28 = 789.52/x
  3. Step 3: Cross multiply
    1,815.52x = 2,723.28 × 789.52
  4. Step 4: Simplify right side
    1,815.52x = 2,150,084.03
  5. Step 5: Solve for x
    x = 2,150,084.03/1,815.52
  6. Step 6: Final answer
    x = 1,184.28

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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.