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Finding the Fourth Proportional to 1,863, 2,788.83 and 1,241.73

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Solution

The fourth proportional to 1,863, 2,788.83 and 1,241.73 is: 1,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863 : 2,788.83 = 1,241.73 : x
  2. Step 2: Convert to fraction form
    1,863/2,788.83 = 1,241.73/x
  3. Step 3: Cross multiply
    1,863x = 2,788.83 × 1,241.73
  4. Step 4: Simplify right side
    1,863x = 3,462,973.88
  5. Step 5: Solve for x
    x = 3,462,973.88/1,863
  6. Step 6: Final answer
    x = 1,858.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.