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Finding the Fourth Proportional to 2,528.84, 3,793.62 and 797.48

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Solution

The fourth proportional to 2,528.84, 3,793.62 and 797.48 is: 1,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.84 : 3,793.62 = 797.48 : x
  2. Step 2: Convert to fraction form
    2,528.84/3,793.62 = 797.48/x
  3. Step 3: Cross multiply
    2,528.84x = 3,793.62 × 797.48
  4. Step 4: Simplify right side
    2,528.84x = 3,025,336.08
  5. Step 5: Solve for x
    x = 3,025,336.08/2,528.84
  6. Step 6: Final answer
    x = 1,196.33

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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.