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Finding the Fourth Proportional to 1,959.55, 2,939.70 and 726.97

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Solution

The fourth proportional to 1,959.55, 2,939.70 and 726.97 is: 1,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.55 : 2,939.70 = 726.97 : x
  2. Step 2: Convert to fraction form
    1,959.55/2,939.70 = 726.97/x
  3. Step 3: Cross multiply
    1,959.55x = 2,939.70 × 726.97
  4. Step 4: Simplify right side
    1,959.55x = 2,137,073.71
  5. Step 5: Solve for x
    x = 2,137,073.71/1,959.55
  6. Step 6: Final answer
    x = 1,090.59

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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.