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Finding the Fourth Proportional to 1,964.20, 2,946.93 and 731.78

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Solution

The fourth proportional to 1,964.20, 2,946.93 and 731.78 is: 1,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.20 : 2,946.93 = 731.78 : x
  2. Step 2: Convert to fraction form
    1,964.20/2,946.93 = 731.78/x
  3. Step 3: Cross multiply
    1,964.20x = 2,946.93 × 731.78
  4. Step 4: Simplify right side
    1,964.20x = 2,156,518.70
  5. Step 5: Solve for x
    x = 2,156,518.70/1,964.20
  6. Step 6: Final answer
    x = 1,097.91

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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.