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Finding the Fourth Proportional to 3,244.40, 4,864.80 and 1,294.40

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Solution

The fourth proportional to 3,244.40, 4,864.80 and 1,294.40 is: 1,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.40 : 4,864.80 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    3,244.40/4,864.80 = 1,294.40/x
  3. Step 3: Cross multiply
    3,244.40x = 4,864.80 × 1,294.40
  4. Step 4: Simplify right side
    3,244.40x = 6,296,997.12
  5. Step 5: Solve for x
    x = 6,296,997.12/3,244.40
  6. Step 6: Final answer
    x = 1,940.88

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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.