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Finding the Fourth Proportional to 1,781.18, 2,671.76 and 548.25

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Solution

The fourth proportional to 1,781.18, 2,671.76 and 548.25 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.18 : 2,671.76 = 548.25 : x
  2. Step 2: Convert to fraction form
    1,781.18/2,671.76 = 548.25/x
  3. Step 3: Cross multiply
    1,781.18x = 2,671.76 × 548.25
  4. Step 4: Simplify right side
    1,781.18x = 1,464,789.68
  5. Step 5: Solve for x
    x = 1,464,789.68/1,781.18
  6. Step 6: Final answer
    x = 822.37

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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.