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Finding the Fourth Proportional to 2,591.27, 3,887.03 and 742.66

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Solution

The fourth proportional to 2,591.27, 3,887.03 and 742.66 is: 1,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.27 : 3,887.03 = 742.66 : x
  2. Step 2: Convert to fraction form
    2,591.27/3,887.03 = 742.66/x
  3. Step 3: Cross multiply
    2,591.27x = 3,887.03 × 742.66
  4. Step 4: Simplify right side
    2,591.27x = 2,886,733.84
  5. Step 5: Solve for x
    x = 2,886,733.84/2,591.27
  6. Step 6: Final answer
    x = 1,114.02

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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.