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Finding the Fourth Proportional to 2,739.33, 3,782.25 and 2,473.25

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Solution

The fourth proportional to 2,739.33, 3,782.25 and 2,473.25 is: 3,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.33 : 3,782.25 = 2,473.25 : x
  2. Step 2: Convert to fraction form
    2,739.33/3,782.25 = 2,473.25/x
  3. Step 3: Cross multiply
    2,739.33x = 3,782.25 × 2,473.25
  4. Step 4: Simplify right side
    2,739.33x = 9,354,430.90
  5. Step 5: Solve for x
    x = 9,354,430.90/2,739.33
  6. Step 6: Final answer
    x = 3,414.86

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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.