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Finding the Fourth Proportional to 2,773.79, 3,827.67 and 1,514.60

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Solution

The fourth proportional to 2,773.79, 3,827.67 and 1,514.60 is: 2,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.79 : 3,827.67 = 1,514.60 : x
  2. Step 2: Convert to fraction form
    2,773.79/3,827.67 = 1,514.60/x
  3. Step 3: Cross multiply
    2,773.79x = 3,827.67 × 1,514.60
  4. Step 4: Simplify right side
    2,773.79x = 5,797,388.98
  5. Step 5: Solve for x
    x = 5,797,388.98/2,773.79
  6. Step 6: Final answer
    x = 2,090.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.