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Finding the Fourth Proportional to 1,959.13, 2,938.86 and 726.55

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Solution

The fourth proportional to 1,959.13, 2,938.86 and 726.55 is: 1,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.13 : 2,938.86 = 726.55 : x
  2. Step 2: Convert to fraction form
    1,959.13/2,938.86 = 726.55/x
  3. Step 3: Cross multiply
    1,959.13x = 2,938.86 × 726.55
  4. Step 4: Simplify right side
    1,959.13x = 2,135,221.39
  5. Step 5: Solve for x
    x = 2,135,221.39/1,959.13
  6. Step 6: Final answer
    x = 1,089.88

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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.