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Finding the Fourth Proportional to 1,796.35, 2,478.36 and 1,010.23

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Solution

The fourth proportional to 1,796.35, 2,478.36 and 1,010.23 is: 1,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.35 : 2,478.36 = 1,010.23 : x
  2. Step 2: Convert to fraction form
    1,796.35/2,478.36 = 1,010.23/x
  3. Step 3: Cross multiply
    1,796.35x = 2,478.36 × 1,010.23
  4. Step 4: Simplify right side
    1,796.35x = 2,503,713.62
  5. Step 5: Solve for x
    x = 2,503,713.62/1,796.35
  6. Step 6: Final answer
    x = 1,393.78

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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.