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Finding the Fourth Proportional to 2,528.54, 3,793.30 and 773.62

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Solution

The fourth proportional to 2,528.54, 3,793.30 and 773.62 is: 1,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.54 : 3,793.30 = 773.62 : x
  2. Step 2: Convert to fraction form
    2,528.54/3,793.30 = 773.62/x
  3. Step 3: Cross multiply
    2,528.54x = 3,793.30 × 773.62
  4. Step 4: Simplify right side
    2,528.54x = 2,934,561.33
  5. Step 5: Solve for x
    x = 2,934,561.33/2,528.54
  6. Step 6: Final answer
    x = 1,160.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.