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Finding the Fourth Proportional to 1,959.06, 2,939.76 and 789.63

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Solution

The fourth proportional to 1,959.06, 2,939.76 and 789.63 is: 1,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.06 : 2,939.76 = 789.63 : x
  2. Step 2: Convert to fraction form
    1,959.06/2,939.76 = 789.63/x
  3. Step 3: Cross multiply
    1,959.06x = 2,939.76 × 789.63
  4. Step 4: Simplify right side
    1,959.06x = 2,321,322.69
  5. Step 5: Solve for x
    x = 2,321,322.69/1,959.06
  6. Step 6: Final answer
    x = 1,184.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.