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Finding the Fourth Proportional to 2,773.01, 3,827.59 and 1,654.73

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Solution

The fourth proportional to 2,773.01, 3,827.59 and 1,654.73 is: 2,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.01 : 3,827.59 = 1,654.73 : x
  2. Step 2: Convert to fraction form
    2,773.01/3,827.59 = 1,654.73/x
  3. Step 3: Cross multiply
    2,773.01x = 3,827.59 × 1,654.73
  4. Step 4: Simplify right side
    2,773.01x = 6,333,619.73
  5. Step 5: Solve for x
    x = 6,333,619.73/2,773.01
  6. Step 6: Final answer
    x = 2,284.02

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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.