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Finding the Fourth Proportional to 1,781.73, 2,672.61 and 549.14

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Solution

The fourth proportional to 1,781.73, 2,672.61 and 549.14 is: 823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.73 : 2,672.61 = 549.14 : x
  2. Step 2: Convert to fraction form
    1,781.73/2,672.61 = 549.14/x
  3. Step 3: Cross multiply
    1,781.73x = 2,672.61 × 549.14
  4. Step 4: Simplify right side
    1,781.73x = 1,467,623.69
  5. Step 5: Solve for x
    x = 1,467,623.69/1,781.73
  6. Step 6: Final answer
    x = 823.71

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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.