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Finding the Fourth Proportional to 3,042.82, 4,197.76 and 1,783.24

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Solution

The fourth proportional to 3,042.82, 4,197.76 and 1,783.24 is: 2,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.82 : 4,197.76 = 1,783.24 : x
  2. Step 2: Convert to fraction form
    3,042.82/4,197.76 = 1,783.24/x
  3. Step 3: Cross multiply
    3,042.82x = 4,197.76 × 1,783.24
  4. Step 4: Simplify right side
    3,042.82x = 7,485,610.52
  5. Step 5: Solve for x
    x = 7,485,610.52/3,042.82
  6. Step 6: Final answer
    x = 2,460.09

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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.