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Finding the Fourth Proportional to 2,595, 3,892.67 and 746.07

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Solution

The fourth proportional to 2,595, 3,892.67 and 746.07 is: 1,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595 : 3,892.67 = 746.07 : x
  2. Step 2: Convert to fraction form
    2,595/3,892.67 = 746.07/x
  3. Step 3: Cross multiply
    2,595x = 3,892.67 × 746.07
  4. Step 4: Simplify right side
    2,595x = 2,904,204.31
  5. Step 5: Solve for x
    x = 2,904,204.31/2,595
  6. Step 6: Final answer
    x = 1,119.15

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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.