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Finding the Fourth Proportional to 2,773.86, 3,828.24 and 1,579.14

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Solution

The fourth proportional to 2,773.86, 3,828.24 and 1,579.14 is: 2,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.86 : 3,828.24 = 1,579.14 : x
  2. Step 2: Convert to fraction form
    2,773.86/3,828.24 = 1,579.14/x
  3. Step 3: Cross multiply
    2,773.86x = 3,828.24 × 1,579.14
  4. Step 4: Simplify right side
    2,773.86x = 6,045,326.91
  5. Step 5: Solve for x
    x = 6,045,326.91/2,773.86
  6. Step 6: Final answer
    x = 2,179.39

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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.