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Finding the Fourth Proportional to 2,283.74, 3,425.09 and 896.62

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Solution

The fourth proportional to 2,283.74, 3,425.09 and 896.62 is: 1,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.74 : 3,425.09 = 896.62 : x
  2. Step 2: Convert to fraction form
    2,283.74/3,425.09 = 896.62/x
  3. Step 3: Cross multiply
    2,283.74x = 3,425.09 × 896.62
  4. Step 4: Simplify right side
    2,283.74x = 3,071,004.20
  5. Step 5: Solve for x
    x = 3,071,004.20/2,283.74
  6. Step 6: Final answer
    x = 1,344.73

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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.