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Finding the Fourth Proportional to 1,976.18, 2,964.01 and 515.44

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Solution

The fourth proportional to 1,976.18, 2,964.01 and 515.44 is: 773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.18 : 2,964.01 = 515.44 : x
  2. Step 2: Convert to fraction form
    1,976.18/2,964.01 = 515.44/x
  3. Step 3: Cross multiply
    1,976.18x = 2,964.01 × 515.44
  4. Step 4: Simplify right side
    1,976.18x = 1,527,766.74
  5. Step 5: Solve for x
    x = 1,527,766.74/1,976.18
  6. Step 6: Final answer
    x = 773.09

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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.