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Finding the Fourth Proportional to 2,665.94, 3,997.66 and 910.47

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Solution

The fourth proportional to 2,665.94, 3,997.66 and 910.47 is: 1,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.94 : 3,997.66 = 910.47 : x
  2. Step 2: Convert to fraction form
    2,665.94/3,997.66 = 910.47/x
  3. Step 3: Cross multiply
    2,665.94x = 3,997.66 × 910.47
  4. Step 4: Simplify right side
    2,665.94x = 3,639,749.50
  5. Step 5: Solve for x
    x = 3,639,749.50/2,665.94
  6. Step 6: Final answer
    x = 1,365.28

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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.