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Finding the Fourth Proportional to 3,321.56, 4,981.17 and 980.94

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Solution

The fourth proportional to 3,321.56, 4,981.17 and 980.94 is: 1,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.56 : 4,981.17 = 980.94 : x
  2. Step 2: Convert to fraction form
    3,321.56/4,981.17 = 980.94/x
  3. Step 3: Cross multiply
    3,321.56x = 4,981.17 × 980.94
  4. Step 4: Simplify right side
    3,321.56x = 4,886,251.26
  5. Step 5: Solve for x
    x = 4,886,251.26/3,321.56
  6. Step 6: Final answer
    x = 1,471.07

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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.