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Finding the Fourth Proportional to 3,021.68, 4,533.21 and 830.59

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Solution

The fourth proportional to 3,021.68, 4,533.21 and 830.59 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.68 : 4,533.21 = 830.59 : x
  2. Step 2: Convert to fraction form
    3,021.68/4,533.21 = 830.59/x
  3. Step 3: Cross multiply
    3,021.68x = 4,533.21 × 830.59
  4. Step 4: Simplify right side
    3,021.68x = 3,765,227.56
  5. Step 5: Solve for x
    x = 3,765,227.56/3,021.68
  6. Step 6: Final answer
    x = 1,246.07

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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.