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Finding the Fourth Proportional to 2,636.94, 3,954.09 and 881.34

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Solution

The fourth proportional to 2,636.94, 3,954.09 and 881.34 is: 1,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.94 : 3,954.09 = 881.34 : x
  2. Step 2: Convert to fraction form
    2,636.94/3,954.09 = 881.34/x
  3. Step 3: Cross multiply
    2,636.94x = 3,954.09 × 881.34
  4. Step 4: Simplify right side
    2,636.94x = 3,484,897.68
  5. Step 5: Solve for x
    x = 3,484,897.68/2,636.94
  6. Step 6: Final answer
    x = 1,321.57

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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.