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Finding the Fourth Proportional to 2,591.50, 3,887.28 and 643.72

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Solution

The fourth proportional to 2,591.50, 3,887.28 and 643.72 is: 965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.50 : 3,887.28 = 643.72 : x
  2. Step 2: Convert to fraction form
    2,591.50/3,887.28 = 643.72/x
  3. Step 3: Cross multiply
    2,591.50x = 3,887.28 × 643.72
  4. Step 4: Simplify right side
    2,591.50x = 2,502,319.88
  5. Step 5: Solve for x
    x = 2,502,319.88/2,591.50
  6. Step 6: Final answer
    x = 965.59

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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.