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Finding the Fourth Proportional to 2,773.83, 3,827.72 and 1,514.63

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Solution

The fourth proportional to 2,773.83, 3,827.72 and 1,514.63 is: 2,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.83 : 3,827.72 = 1,514.63 : x
  2. Step 2: Convert to fraction form
    2,773.83/3,827.72 = 1,514.63/x
  3. Step 3: Cross multiply
    2,773.83x = 3,827.72 × 1,514.63
  4. Step 4: Simplify right side
    2,773.83x = 5,797,592.90
  5. Step 5: Solve for x
    x = 5,797,592.90/2,773.83
  6. Step 6: Final answer
    x = 2,090.10

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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.