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Finding the Fourth Proportional to 3,042.77, 4,198.64 and 1,784.25

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Solution

The fourth proportional to 3,042.77, 4,198.64 and 1,784.25 is: 2,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.77 : 4,198.64 = 1,784.25 : x
  2. Step 2: Convert to fraction form
    3,042.77/4,198.64 = 1,784.25/x
  3. Step 3: Cross multiply
    3,042.77x = 4,198.64 × 1,784.25
  4. Step 4: Simplify right side
    3,042.77x = 7,491,414.50
  5. Step 5: Solve for x
    x = 7,491,414.50/3,042.77
  6. Step 6: Final answer
    x = 2,462.04

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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.