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Finding the Fourth Proportional to 2,940.63, 4,410.72 and 1,297.19

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Solution

The fourth proportional to 2,940.63, 4,410.72 and 1,297.19 is: 1,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.63 : 4,410.72 = 1,297.19 : x
  2. Step 2: Convert to fraction form
    2,940.63/4,410.72 = 1,297.19/x
  3. Step 3: Cross multiply
    2,940.63x = 4,410.72 × 1,297.19
  4. Step 4: Simplify right side
    2,940.63x = 5,721,519.82
  5. Step 5: Solve for x
    x = 5,721,519.82/2,940.63
  6. Step 6: Final answer
    x = 1,945.68

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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.