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Finding the Fourth Proportional to 2,270.94, 3,399.90 and 1,539.21

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Solution

The fourth proportional to 2,270.94, 3,399.90 and 1,539.21 is: 2,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.94 : 3,399.90 = 1,539.21 : x
  2. Step 2: Convert to fraction form
    2,270.94/3,399.90 = 1,539.21/x
  3. Step 3: Cross multiply
    2,270.94x = 3,399.90 × 1,539.21
  4. Step 4: Simplify right side
    2,270.94x = 5,233,160.08
  5. Step 5: Solve for x
    x = 5,233,160.08/2,270.94
  6. Step 6: Final answer
    x = 2,304.40

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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.