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Finding the Fourth Proportional to 3,213.77, 4,820.60 and 1,022.46

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Solution

The fourth proportional to 3,213.77, 4,820.60 and 1,022.46 is: 1,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.77 : 4,820.60 = 1,022.46 : x
  2. Step 2: Convert to fraction form
    3,213.77/4,820.60 = 1,022.46/x
  3. Step 3: Cross multiply
    3,213.77x = 4,820.60 × 1,022.46
  4. Step 4: Simplify right side
    3,213.77x = 4,928,876.52
  5. Step 5: Solve for x
    x = 4,928,876.52/3,213.77
  6. Step 6: Final answer
    x = 1,533.68

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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.