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Finding the Fourth Proportional to 1,781.44, 2,673.07 and 1,264.79

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Solution

The fourth proportional to 1,781.44, 2,673.07 and 1,264.79 is: 1,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.44 : 2,673.07 = 1,264.79 : x
  2. Step 2: Convert to fraction form
    1,781.44/2,673.07 = 1,264.79/x
  3. Step 3: Cross multiply
    1,781.44x = 2,673.07 × 1,264.79
  4. Step 4: Simplify right side
    1,781.44x = 3,380,875.73
  5. Step 5: Solve for x
    x = 3,380,875.73/1,781.44
  6. Step 6: Final answer
    x = 1,897.84

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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.