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Finding the Fourth Proportional to 1,964.75, 2,946.92 and 503.87

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Solution

The fourth proportional to 1,964.75, 2,946.92 and 503.87 is: 755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.75 : 2,946.92 = 503.87 : x
  2. Step 2: Convert to fraction form
    1,964.75/2,946.92 = 503.87/x
  3. Step 3: Cross multiply
    1,964.75x = 2,946.92 × 503.87
  4. Step 4: Simplify right side
    1,964.75x = 1,484,847.33
  5. Step 5: Solve for x
    x = 1,484,847.33/1,964.75
  6. Step 6: Final answer
    x = 755.75

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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.