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Finding the Fourth Proportional to 2,375.64, 3,563.08 and 643.88

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Solution

The fourth proportional to 2,375.64, 3,563.08 and 643.88 is: 965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.64 : 3,563.08 = 643.88 : x
  2. Step 2: Convert to fraction form
    2,375.64/3,563.08 = 643.88/x
  3. Step 3: Cross multiply
    2,375.64x = 3,563.08 × 643.88
  4. Step 4: Simplify right side
    2,375.64x = 2,294,195.95
  5. Step 5: Solve for x
    x = 2,294,195.95/2,375.64
  6. Step 6: Final answer
    x = 965.72

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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.