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Finding the Fourth Proportional to 1,964.39, 2,944.53 and 731.30

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Solution

The fourth proportional to 1,964.39, 2,944.53 and 731.30 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.39 : 2,944.53 = 731.30 : x
  2. Step 2: Convert to fraction form
    1,964.39/2,944.53 = 731.30/x
  3. Step 3: Cross multiply
    1,964.39x = 2,944.53 × 731.30
  4. Step 4: Simplify right side
    1,964.39x = 2,153,328.85
  5. Step 5: Solve for x
    x = 2,153,328.85/1,964.39
  6. Step 6: Final answer
    x = 1,096.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.