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Finding the Fourth Proportional to 2,228.02, 3,342.36 and 766.83

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Solution

The fourth proportional to 2,228.02, 3,342.36 and 766.83 is: 1,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.02 : 3,342.36 = 766.83 : x
  2. Step 2: Convert to fraction form
    2,228.02/3,342.36 = 766.83/x
  3. Step 3: Cross multiply
    2,228.02x = 3,342.36 × 766.83
  4. Step 4: Simplify right side
    2,228.02x = 2,563,037.33
  5. Step 5: Solve for x
    x = 2,563,037.33/2,228.02
  6. Step 6: Final answer
    x = 1,150.37

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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.