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Finding the Fourth Proportional to 1,976.44, 2,964.43 and 515.70

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Solution

The fourth proportional to 1,976.44, 2,964.43 and 515.70 is: 773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.44 : 2,964.43 = 515.70 : x
  2. Step 2: Convert to fraction form
    1,976.44/2,964.43 = 515.70/x
  3. Step 3: Cross multiply
    1,976.44x = 2,964.43 × 515.70
  4. Step 4: Simplify right side
    1,976.44x = 1,528,756.55
  5. Step 5: Solve for x
    x = 1,528,756.55/1,976.44
  6. Step 6: Final answer
    x = 773.49

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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.