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Finding the Fourth Proportional to 2,969.32, 4,450.74 and 1,993

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Solution

The fourth proportional to 2,969.32, 4,450.74 and 1,993 is: 2,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.32 : 4,450.74 = 1,993 : x
  2. Step 2: Convert to fraction form
    2,969.32/4,450.74 = 1,993/x
  3. Step 3: Cross multiply
    2,969.32x = 4,450.74 × 1,993
  4. Step 4: Simplify right side
    2,969.32x = 8,870,324.82
  5. Step 5: Solve for x
    x = 8,870,324.82/2,969.32
  6. Step 6: Final answer
    x = 2,987.33

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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.