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Finding the Fourth Proportional to 2,843.78, 4,265.67 and 1,111.19

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Solution

The fourth proportional to 2,843.78, 4,265.67 and 1,111.19 is: 1,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.78 : 4,265.67 = 1,111.19 : x
  2. Step 2: Convert to fraction form
    2,843.78/4,265.67 = 1,111.19/x
  3. Step 3: Cross multiply
    2,843.78x = 4,265.67 × 1,111.19
  4. Step 4: Simplify right side
    2,843.78x = 4,739,969.85
  5. Step 5: Solve for x
    x = 4,739,969.85/2,843.78
  6. Step 6: Final answer
    x = 1,666.79

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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.