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Finding the Fourth Proportional to 2,080.84, 3,121.28 and 926.52

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Solution

The fourth proportional to 2,080.84, 3,121.28 and 926.52 is: 1,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.84 : 3,121.28 = 926.52 : x
  2. Step 2: Convert to fraction form
    2,080.84/3,121.28 = 926.52/x
  3. Step 3: Cross multiply
    2,080.84x = 3,121.28 × 926.52
  4. Step 4: Simplify right side
    2,080.84x = 2,891,928.35
  5. Step 5: Solve for x
    x = 2,891,928.35/2,080.84
  6. Step 6: Final answer
    x = 1,389.79

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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.