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Finding the Fourth Proportional to 2,980.92, 4,471.41 and 900.94

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Solution

The fourth proportional to 2,980.92, 4,471.41 and 900.94 is: 1,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.92 : 4,471.41 = 900.94 : x
  2. Step 2: Convert to fraction form
    2,980.92/4,471.41 = 900.94/x
  3. Step 3: Cross multiply
    2,980.92x = 4,471.41 × 900.94
  4. Step 4: Simplify right side
    2,980.92x = 4,028,478.56
  5. Step 5: Solve for x
    x = 4,028,478.56/2,980.92
  6. Step 6: Final answer
    x = 1,351.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.