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Finding the Fourth Proportional to 1,959.94, 2,940.34 and 727.35

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Solution

The fourth proportional to 1,959.94, 2,940.34 and 727.35 is: 1,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.94 : 2,940.34 = 727.35 : x
  2. Step 2: Convert to fraction form
    1,959.94/2,940.34 = 727.35/x
  3. Step 3: Cross multiply
    1,959.94x = 2,940.34 × 727.35
  4. Step 4: Simplify right side
    1,959.94x = 2,138,656.30
  5. Step 5: Solve for x
    x = 2,138,656.30/1,959.94
  6. Step 6: Final answer
    x = 1,091.18

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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.