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Finding the Fourth Proportional to 1,914.79, 2,872.19 and 682.25

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Solution

The fourth proportional to 1,914.79, 2,872.19 and 682.25 is: 1,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.79 : 2,872.19 = 682.25 : x
  2. Step 2: Convert to fraction form
    1,914.79/2,872.19 = 682.25/x
  3. Step 3: Cross multiply
    1,914.79x = 2,872.19 × 682.25
  4. Step 4: Simplify right side
    1,914.79x = 1,959,538.97
  5. Step 5: Solve for x
    x = 1,959,538.97/1,914.79
  6. Step 6: Final answer
    x = 1,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.