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Finding the Fourth Proportional to 3,100.41, 4,277.96 and 1,980.48

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Solution

The fourth proportional to 3,100.41, 4,277.96 and 1,980.48 is: 2,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.41 : 4,277.96 = 1,980.48 : x
  2. Step 2: Convert to fraction form
    3,100.41/4,277.96 = 1,980.48/x
  3. Step 3: Cross multiply
    3,100.41x = 4,277.96 × 1,980.48
  4. Step 4: Simplify right side
    3,100.41x = 8,472,438.93
  5. Step 5: Solve for x
    x = 8,472,438.93/3,100.41
  6. Step 6: Final answer
    x = 2,732.68

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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.