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Finding the Fourth Proportional to 2,033.31, 3,050.99 and 801.60

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Solution

The fourth proportional to 2,033.31, 3,050.99 and 801.60 is: 1,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.31 : 3,050.99 = 801.60 : x
  2. Step 2: Convert to fraction form
    2,033.31/3,050.99 = 801.60/x
  3. Step 3: Cross multiply
    2,033.31x = 3,050.99 × 801.60
  4. Step 4: Simplify right side
    2,033.31x = 2,445,669.58
  5. Step 5: Solve for x
    x = 2,445,669.58/2,033.31
  6. Step 6: Final answer
    x = 1,202.80

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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.