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Finding the Fourth Proportional to 2,118.42, 3,173.31 and 885.33

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Solution

The fourth proportional to 2,118.42, 3,173.31 and 885.33 is: 1,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.42 : 3,173.31 = 885.33 : x
  2. Step 2: Convert to fraction form
    2,118.42/3,173.31 = 885.33/x
  3. Step 3: Cross multiply
    2,118.42x = 3,173.31 × 885.33
  4. Step 4: Simplify right side
    2,118.42x = 2,809,426.54
  5. Step 5: Solve for x
    x = 2,809,426.54/2,118.42
  6. Step 6: Final answer
    x = 1,326.19

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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.