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Finding the Fourth Proportional to 1,959.14, 2,939.36 and 726.65

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Solution

The fourth proportional to 1,959.14, 2,939.36 and 726.65 is: 1,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.14 : 2,939.36 = 726.65 : x
  2. Step 2: Convert to fraction form
    1,959.14/2,939.36 = 726.65/x
  3. Step 3: Cross multiply
    1,959.14x = 2,939.36 × 726.65
  4. Step 4: Simplify right side
    1,959.14x = 2,135,867.61
  5. Step 5: Solve for x
    x = 2,135,867.61/1,959.14
  6. Step 6: Final answer
    x = 1,090.21

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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.