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Finding the Fourth Proportional to 3,449.30, 4,760.70 and 2,270.30

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Solution

The fourth proportional to 3,449.30, 4,760.70 and 2,270.30 is: 3,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.30 : 4,760.70 = 2,270.30 : x
  2. Step 2: Convert to fraction form
    3,449.30/4,760.70 = 2,270.30/x
  3. Step 3: Cross multiply
    3,449.30x = 4,760.70 × 2,270.30
  4. Step 4: Simplify right side
    3,449.30x = 10,808,217.21
  5. Step 5: Solve for x
    x = 10,808,217.21/3,449.30
  6. Step 6: Final answer
    x = 3,133.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.