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Finding the Fourth Proportional to 3,471.20, 4,790.57 and 1,978.81

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Solution

The fourth proportional to 3,471.20, 4,790.57 and 1,978.81 is: 2,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.20 : 4,790.57 = 1,978.81 : x
  2. Step 2: Convert to fraction form
    3,471.20/4,790.57 = 1,978.81/x
  3. Step 3: Cross multiply
    3,471.20x = 4,790.57 × 1,978.81
  4. Step 4: Simplify right side
    3,471.20x = 9,479,627.82
  5. Step 5: Solve for x
    x = 9,479,627.82/3,471.20
  6. Step 6: Final answer
    x = 2,730.94

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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.