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Finding the Fourth Proportional to 2,203.96, 3,305.94 and 1,383.16

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Solution

The fourth proportional to 2,203.96, 3,305.94 and 1,383.16 is: 2,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.96 : 3,305.94 = 1,383.16 : x
  2. Step 2: Convert to fraction form
    2,203.96/3,305.94 = 1,383.16/x
  3. Step 3: Cross multiply
    2,203.96x = 3,305.94 × 1,383.16
  4. Step 4: Simplify right side
    2,203.96x = 4,572,643.97
  5. Step 5: Solve for x
    x = 4,572,643.97/2,203.96
  6. Step 6: Final answer
    x = 2,074.74

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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.