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Finding the Fourth Proportional to 1,796.21, 2,478.70 and 1,010.33

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Solution

The fourth proportional to 1,796.21, 2,478.70 and 1,010.33 is: 1,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.21 : 2,478.70 = 1,010.33 : x
  2. Step 2: Convert to fraction form
    1,796.21/2,478.70 = 1,010.33/x
  3. Step 3: Cross multiply
    1,796.21x = 2,478.70 × 1,010.33
  4. Step 4: Simplify right side
    1,796.21x = 2,504,304.97
  5. Step 5: Solve for x
    x = 2,504,304.97/1,796.21
  6. Step 6: Final answer
    x = 1,394.22

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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.