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Finding the Fourth Proportional to 1,645.86, 2,270.93 and 982.61

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Solution

The fourth proportional to 1,645.86, 2,270.93 and 982.61 is: 1,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.86 : 2,270.93 = 982.61 : x
  2. Step 2: Convert to fraction form
    1,645.86/2,270.93 = 982.61/x
  3. Step 3: Cross multiply
    1,645.86x = 2,270.93 × 982.61
  4. Step 4: Simplify right side
    1,645.86x = 2,231,422.26
  5. Step 5: Solve for x
    x = 2,231,422.26/1,645.86
  6. Step 6: Final answer
    x = 1,355.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.