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Finding the Fourth Proportional to 1,959.31, 2,703.30 and 1,261.09

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Solution

The fourth proportional to 1,959.31, 2,703.30 and 1,261.09 is: 1,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.31 : 2,703.30 = 1,261.09 : x
  2. Step 2: Convert to fraction form
    1,959.31/2,703.30 = 1,261.09/x
  3. Step 3: Cross multiply
    1,959.31x = 2,703.30 × 1,261.09
  4. Step 4: Simplify right side
    1,959.31x = 3,409,104.60
  5. Step 5: Solve for x
    x = 3,409,104.60/1,959.31
  6. Step 6: Final answer
    x = 1,739.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.