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Finding the Fourth Proportional to 2,116.44, 3,169.14 and 1,703.32

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Solution

The fourth proportional to 2,116.44, 3,169.14 and 1,703.32 is: 2,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.44 : 3,169.14 = 1,703.32 : x
  2. Step 2: Convert to fraction form
    2,116.44/3,169.14 = 1,703.32/x
  3. Step 3: Cross multiply
    2,116.44x = 3,169.14 × 1,703.32
  4. Step 4: Simplify right side
    2,116.44x = 5,398,059.54
  5. Step 5: Solve for x
    x = 5,398,059.54/2,116.44
  6. Step 6: Final answer
    x = 2,550.54

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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.