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Finding the Fourth Proportional to 1,964.73, 2,947.29 and 503.91

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Solution

The fourth proportional to 1,964.73, 2,947.29 and 503.91 is: 755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.73 : 2,947.29 = 503.91 : x
  2. Step 2: Convert to fraction form
    1,964.73/2,947.29 = 503.91/x
  3. Step 3: Cross multiply
    1,964.73x = 2,947.29 × 503.91
  4. Step 4: Simplify right side
    1,964.73x = 1,485,168.90
  5. Step 5: Solve for x
    x = 1,485,168.90/1,964.73
  6. Step 6: Final answer
    x = 755.92

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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.