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Finding the Fourth Proportional to 2,528.62, 3,791.94 and 773.08

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Solution

The fourth proportional to 2,528.62, 3,791.94 and 773.08 is: 1,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.62 : 3,791.94 = 773.08 : x
  2. Step 2: Convert to fraction form
    2,528.62/3,791.94 = 773.08/x
  3. Step 3: Cross multiply
    2,528.62x = 3,791.94 × 773.08
  4. Step 4: Simplify right side
    2,528.62x = 2,931,472.98
  5. Step 5: Solve for x
    x = 2,931,472.98/2,528.62
  6. Step 6: Final answer
    x = 1,159.32

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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.