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Finding the Fourth Proportional to 2,720.51, 4,081.08 and 772.82

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Solution

The fourth proportional to 2,720.51, 4,081.08 and 772.82 is: 1,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.51 : 4,081.08 = 772.82 : x
  2. Step 2: Convert to fraction form
    2,720.51/4,081.08 = 772.82/x
  3. Step 3: Cross multiply
    2,720.51x = 4,081.08 × 772.82
  4. Step 4: Simplify right side
    2,720.51x = 3,153,940.25
  5. Step 5: Solve for x
    x = 3,153,940.25/2,720.51
  6. Step 6: Final answer
    x = 1,159.32

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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.