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Finding the Fourth Proportional to 2,773.08, 3,826.74 and 1,514.10

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Solution

The fourth proportional to 2,773.08, 3,826.74 and 1,514.10 is: 2,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.08 : 3,826.74 = 1,514.10 : x
  2. Step 2: Convert to fraction form
    2,773.08/3,826.74 = 1,514.10/x
  3. Step 3: Cross multiply
    2,773.08x = 3,826.74 × 1,514.10
  4. Step 4: Simplify right side
    2,773.08x = 5,794,067.03
  5. Step 5: Solve for x
    x = 5,794,067.03/2,773.08
  6. Step 6: Final answer
    x = 2,089.40

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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.