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Finding the Fourth Proportional to 2,757.48, 3,801.24 and 2,012.28

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Solution

The fourth proportional to 2,757.48, 3,801.24 and 2,012.28 is: 2,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.48 : 3,801.24 = 2,012.28 : x
  2. Step 2: Convert to fraction form
    2,757.48/3,801.24 = 2,012.28/x
  3. Step 3: Cross multiply
    2,757.48x = 3,801.24 × 2,012.28
  4. Step 4: Simplify right side
    2,757.48x = 7,649,159.23
  5. Step 5: Solve for x
    x = 7,649,159.23/2,757.48
  6. Step 6: Final answer
    x = 2,773.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.