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Finding the Fourth Proportional to 2,375.93, 3,563.94 and 644.57

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Solution

The fourth proportional to 2,375.93, 3,563.94 and 644.57 is: 966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.93 : 3,563.94 = 644.57 : x
  2. Step 2: Convert to fraction form
    2,375.93/3,563.94 = 644.57/x
  3. Step 3: Cross multiply
    2,375.93x = 3,563.94 × 644.57
  4. Step 4: Simplify right side
    2,375.93x = 2,297,208.81
  5. Step 5: Solve for x
    x = 2,297,208.81/2,375.93
  6. Step 6: Final answer
    x = 966.87

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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.