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Finding the Fourth Proportional to 1,939.23, 2,908.75 and 828.18

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Solution

The fourth proportional to 1,939.23, 2,908.75 and 828.18 is: 1,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.23 : 2,908.75 = 828.18 : x
  2. Step 2: Convert to fraction form
    1,939.23/2,908.75 = 828.18/x
  3. Step 3: Cross multiply
    1,939.23x = 2,908.75 × 828.18
  4. Step 4: Simplify right side
    1,939.23x = 2,408,968.58
  5. Step 5: Solve for x
    x = 2,408,968.58/1,939.23
  6. Step 6: Final answer
    x = 1,242.23

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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.