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Finding the Fourth Proportional to 2,595.26, 3,892.32 and 745.97

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Solution

The fourth proportional to 2,595.26, 3,892.32 and 745.97 is: 1,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.26 : 3,892.32 = 745.97 : x
  2. Step 2: Convert to fraction form
    2,595.26/3,892.32 = 745.97/x
  3. Step 3: Cross multiply
    2,595.26x = 3,892.32 × 745.97
  4. Step 4: Simplify right side
    2,595.26x = 2,903,534.49
  5. Step 5: Solve for x
    x = 2,903,534.49/2,595.26
  6. Step 6: Final answer
    x = 1,118.78

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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.