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Finding the Fourth Proportional to 2,283.88, 3,425.31 and 896.74

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Solution

The fourth proportional to 2,283.88, 3,425.31 and 896.74 is: 1,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.88 : 3,425.31 = 896.74 : x
  2. Step 2: Convert to fraction form
    2,283.88/3,425.31 = 896.74/x
  3. Step 3: Cross multiply
    2,283.88x = 3,425.31 × 896.74
  4. Step 4: Simplify right side
    2,283.88x = 3,071,612.49
  5. Step 5: Solve for x
    x = 3,071,612.49/2,283.88
  6. Step 6: Final answer
    x = 1,344.91

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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.