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Finding the Fourth Proportional to 1,964.78, 2,947.14 and 503.92

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Solution

The fourth proportional to 1,964.78, 2,947.14 and 503.92 is: 755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.78 : 2,947.14 = 503.92 : x
  2. Step 2: Convert to fraction form
    1,964.78/2,947.14 = 503.92/x
  3. Step 3: Cross multiply
    1,964.78x = 2,947.14 × 503.92
  4. Step 4: Simplify right side
    1,964.78x = 1,485,122.79
  5. Step 5: Solve for x
    x = 1,485,122.79/1,964.78
  6. Step 6: Final answer
    x = 755.87

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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.