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Finding the Fourth Proportional to 1,781.75, 2,456.24 and 1,221.33

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Solution

The fourth proportional to 1,781.75, 2,456.24 and 1,221.33 is: 1,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.75 : 2,456.24 = 1,221.33 : x
  2. Step 2: Convert to fraction form
    1,781.75/2,456.24 = 1,221.33/x
  3. Step 3: Cross multiply
    1,781.75x = 2,456.24 × 1,221.33
  4. Step 4: Simplify right side
    1,781.75x = 2,999,873.49
  5. Step 5: Solve for x
    x = 2,999,873.49/1,781.75
  6. Step 6: Final answer
    x = 1,683.67

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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.