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Finding the Fourth Proportional to 3,100.54, 4,278.14 and 1,842.71

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Solution

The fourth proportional to 3,100.54, 4,278.14 and 1,842.71 is: 2,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.54 : 4,278.14 = 1,842.71 : x
  2. Step 2: Convert to fraction form
    3,100.54/4,278.14 = 1,842.71/x
  3. Step 3: Cross multiply
    3,100.54x = 4,278.14 × 1,842.71
  4. Step 4: Simplify right side
    3,100.54x = 7,883,371.36
  5. Step 5: Solve for x
    x = 7,883,371.36/3,100.54
  6. Step 6: Final answer
    x = 2,542.58

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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.