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Finding the Fourth Proportional to 2,213.48, 3,320.54 and 845.80

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Solution

The fourth proportional to 2,213.48, 3,320.54 and 845.80 is: 1,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.48 : 3,320.54 = 845.80 : x
  2. Step 2: Convert to fraction form
    2,213.48/3,320.54 = 845.80/x
  3. Step 3: Cross multiply
    2,213.48x = 3,320.54 × 845.80
  4. Step 4: Simplify right side
    2,213.48x = 2,808,512.73
  5. Step 5: Solve for x
    x = 2,808,512.73/2,213.48
  6. Step 6: Final answer
    x = 1,268.82

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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.