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Finding the Fourth Proportional to 2,280.31, 3,420.46 and 720.43

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Solution

The fourth proportional to 2,280.31, 3,420.46 and 720.43 is: 1,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.31 : 3,420.46 = 720.43 : x
  2. Step 2: Convert to fraction form
    2,280.31/3,420.46 = 720.43/x
  3. Step 3: Cross multiply
    2,280.31x = 3,420.46 × 720.43
  4. Step 4: Simplify right side
    2,280.31x = 2,464,202.00
  5. Step 5: Solve for x
    x = 2,464,202.00/2,280.31
  6. Step 6: Final answer
    x = 1,080.64

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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.