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Finding the Fourth Proportional to 2,505.36, 3,757.04 and 773.52

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Solution

The fourth proportional to 2,505.36, 3,757.04 and 773.52 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.36 : 3,757.04 = 773.52 : x
  2. Step 2: Convert to fraction form
    2,505.36/3,757.04 = 773.52/x
  3. Step 3: Cross multiply
    2,505.36x = 3,757.04 × 773.52
  4. Step 4: Simplify right side
    2,505.36x = 2,906,145.58
  5. Step 5: Solve for x
    x = 2,906,145.58/2,505.36
  6. Step 6: Final answer
    x = 1,159.97

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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.