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Finding the Fourth Proportional to 2,776.97, 4,165.46 and 829.02

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Solution

The fourth proportional to 2,776.97, 4,165.46 and 829.02 is: 1,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.97 : 4,165.46 = 829.02 : x
  2. Step 2: Convert to fraction form
    2,776.97/4,165.46 = 829.02/x
  3. Step 3: Cross multiply
    2,776.97x = 4,165.46 × 829.02
  4. Step 4: Simplify right side
    2,776.97x = 3,453,249.65
  5. Step 5: Solve for x
    x = 3,453,249.65/2,776.97
  6. Step 6: Final answer
    x = 1,243.53

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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.