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Finding the Fourth Proportional to 2,504.94, 3,757.38 and 773.58

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Solution

The fourth proportional to 2,504.94, 3,757.38 and 773.58 is: 1,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.94 : 3,757.38 = 773.58 : x
  2. Step 2: Convert to fraction form
    2,504.94/3,757.38 = 773.58/x
  3. Step 3: Cross multiply
    2,504.94x = 3,757.38 × 773.58
  4. Step 4: Simplify right side
    2,504.94x = 2,906,634.02
  5. Step 5: Solve for x
    x = 2,906,634.02/2,504.94
  6. Step 6: Final answer
    x = 1,160.36

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1.5x scale

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.