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Finding the Fourth Proportional to 2,697.83, 4,046.75 and 849.09

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Solution

The fourth proportional to 2,697.83, 4,046.75 and 849.09 is: 1,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.83 : 4,046.75 = 849.09 : x
  2. Step 2: Convert to fraction form
    2,697.83/4,046.75 = 849.09/x
  3. Step 3: Cross multiply
    2,697.83x = 4,046.75 × 849.09
  4. Step 4: Simplify right side
    2,697.83x = 3,436,050.71
  5. Step 5: Solve for x
    x = 3,436,050.71/2,697.83
  6. Step 6: Final answer
    x = 1,273.64

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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.