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Finding the Fourth Proportional to 3,040.63, 4,196.86 and 1,981.30

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Solution

The fourth proportional to 3,040.63, 4,196.86 and 1,981.30 is: 2,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.63 : 4,196.86 = 1,981.30 : x
  2. Step 2: Convert to fraction form
    3,040.63/4,196.86 = 1,981.30/x
  3. Step 3: Cross multiply
    3,040.63x = 4,196.86 × 1,981.30
  4. Step 4: Simplify right side
    3,040.63x = 8,315,238.72
  5. Step 5: Solve for x
    x = 8,315,238.72/3,040.63
  6. Step 6: Final answer
    x = 2,734.71

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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.