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Finding the Fourth Proportional to 2,773.61, 3,827.62 and 1,514.66

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Solution

The fourth proportional to 2,773.61, 3,827.62 and 1,514.66 is: 2,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.61 : 3,827.62 = 1,514.66 : x
  2. Step 2: Convert to fraction form
    2,773.61/3,827.62 = 1,514.66/x
  3. Step 3: Cross multiply
    2,773.61x = 3,827.62 × 1,514.66
  4. Step 4: Simplify right side
    2,773.61x = 5,797,542.91
  5. Step 5: Solve for x
    x = 5,797,542.91/2,773.61
  6. Step 6: Final answer
    x = 2,090.25

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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.