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Finding the Fourth Proportional to 1,963.45, 2,944.25 and 576.43

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Solution

The fourth proportional to 1,963.45, 2,944.25 and 576.43 is: 864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.45 : 2,944.25 = 576.43 : x
  2. Step 2: Convert to fraction form
    1,963.45/2,944.25 = 576.43/x
  3. Step 3: Cross multiply
    1,963.45x = 2,944.25 × 576.43
  4. Step 4: Simplify right side
    1,963.45x = 1,697,154.03
  5. Step 5: Solve for x
    x = 1,697,154.03/1,963.45
  6. Step 6: Final answer
    x = 864.37

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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.