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Finding the Fourth Proportional to 2,666.24, 3,997.77 and 910.61

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Solution

The fourth proportional to 2,666.24, 3,997.77 and 910.61 is: 1,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.24 : 3,997.77 = 910.61 : x
  2. Step 2: Convert to fraction form
    2,666.24/3,997.77 = 910.61/x
  3. Step 3: Cross multiply
    2,666.24x = 3,997.77 × 910.61
  4. Step 4: Simplify right side
    2,666.24x = 3,640,409.34
  5. Step 5: Solve for x
    x = 3,640,409.34/2,666.24
  6. Step 6: Final answer
    x = 1,365.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.