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Finding the Fourth Proportional to 1,976.49, 2,964.38 and 515.55

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Solution

The fourth proportional to 1,976.49, 2,964.38 and 515.55 is: 773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.49 : 2,964.38 = 515.55 : x
  2. Step 2: Convert to fraction form
    1,976.49/2,964.38 = 515.55/x
  3. Step 3: Cross multiply
    1,976.49x = 2,964.38 × 515.55
  4. Step 4: Simplify right side
    1,976.49x = 1,528,286.11
  5. Step 5: Solve for x
    x = 1,528,286.11/1,976.49
  6. Step 6: Final answer
    x = 773.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.