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Finding the Fourth Proportional to 2,720.36, 4,081.22 and 772.56

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Solution

The fourth proportional to 2,720.36, 4,081.22 and 772.56 is: 1,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.36 : 4,081.22 = 772.56 : x
  2. Step 2: Convert to fraction form
    2,720.36/4,081.22 = 772.56/x
  3. Step 3: Cross multiply
    2,720.36x = 4,081.22 × 772.56
  4. Step 4: Simplify right side
    2,720.36x = 3,152,987.32
  5. Step 5: Solve for x
    x = 3,152,987.32/2,720.36
  6. Step 6: Final answer
    x = 1,159.03

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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.