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Finding the Fourth Proportional to 2,383.53, 3,574.33 and 996.13

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Solution

The fourth proportional to 2,383.53, 3,574.33 and 996.13 is: 1,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.53 : 3,574.33 = 996.13 : x
  2. Step 2: Convert to fraction form
    2,383.53/3,574.33 = 996.13/x
  3. Step 3: Cross multiply
    2,383.53x = 3,574.33 × 996.13
  4. Step 4: Simplify right side
    2,383.53x = 3,560,499.32
  5. Step 5: Solve for x
    x = 3,560,499.32/2,383.53
  6. Step 6: Final answer
    x = 1,493.79

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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.