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Finding the Fourth Proportional to 2,844.38, 3,925.86 and 1,796.24

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Solution

The fourth proportional to 2,844.38, 3,925.86 and 1,796.24 is: 2,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.38 : 3,925.86 = 1,796.24 : x
  2. Step 2: Convert to fraction form
    2,844.38/3,925.86 = 1,796.24/x
  3. Step 3: Cross multiply
    2,844.38x = 3,925.86 × 1,796.24
  4. Step 4: Simplify right side
    2,844.38x = 7,051,786.77
  5. Step 5: Solve for x
    x = 7,051,786.77/2,844.38
  6. Step 6: Final answer
    x = 2,479.20

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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.