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Finding the Fourth Proportional to 2,606.92, 3,910.97 and 875.54

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Solution

The fourth proportional to 2,606.92, 3,910.97 and 875.54 is: 1,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.92 : 3,910.97 = 875.54 : x
  2. Step 2: Convert to fraction form
    2,606.92/3,910.97 = 875.54/x
  3. Step 3: Cross multiply
    2,606.92x = 3,910.97 × 875.54
  4. Step 4: Simplify right side
    2,606.92x = 3,424,222.64
  5. Step 5: Solve for x
    x = 3,424,222.64/2,606.92
  6. Step 6: Final answer
    x = 1,313.51

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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.