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Finding the Fourth Proportional to 1,892.46, 2,834.46 and 1,342.97

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Solution

The fourth proportional to 1,892.46, 2,834.46 and 1,342.97 is: 2,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.46 : 2,834.46 = 1,342.97 : x
  2. Step 2: Convert to fraction form
    1,892.46/2,834.46 = 1,342.97/x
  3. Step 3: Cross multiply
    1,892.46x = 2,834.46 × 1,342.97
  4. Step 4: Simplify right side
    1,892.46x = 3,806,580.57
  5. Step 5: Solve for x
    x = 3,806,580.57/1,892.46
  6. Step 6: Final answer
    x = 2,011.45

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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.