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Finding the Fourth Proportional to 2,213.58, 3,320.37 and 980.70

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Solution

The fourth proportional to 2,213.58, 3,320.37 and 980.70 is: 1,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.58 : 3,320.37 = 980.70 : x
  2. Step 2: Convert to fraction form
    2,213.58/3,320.37 = 980.70/x
  3. Step 3: Cross multiply
    2,213.58x = 3,320.37 × 980.70
  4. Step 4: Simplify right side
    2,213.58x = 3,256,286.86
  5. Step 5: Solve for x
    x = 3,256,286.86/2,213.58
  6. Step 6: Final answer
    x = 1,471.05

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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.