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Finding the Fourth Proportional to 2,280.70, 3,420.51 and 2,230.21

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Solution

The fourth proportional to 2,280.70, 3,420.51 and 2,230.21 is: 3,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.70 : 3,420.51 = 2,230.21 : x
  2. Step 2: Convert to fraction form
    2,280.70/3,420.51 = 2,230.21/x
  3. Step 3: Cross multiply
    2,280.70x = 3,420.51 × 2,230.21
  4. Step 4: Simplify right side
    2,280.70x = 7,628,455.61
  5. Step 5: Solve for x
    x = 7,628,455.61/2,280.70
  6. Step 6: Final answer
    x = 3,344.79

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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.