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Finding the Fourth Proportional to 2,283.82, 3,425.73 and 552.43

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Solution

The fourth proportional to 2,283.82, 3,425.73 and 552.43 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.82 : 3,425.73 = 552.43 : x
  2. Step 2: Convert to fraction form
    2,283.82/3,425.73 = 552.43/x
  3. Step 3: Cross multiply
    2,283.82x = 3,425.73 × 552.43
  4. Step 4: Simplify right side
    2,283.82x = 1,892,476.02
  5. Step 5: Solve for x
    x = 1,892,476.02/2,283.82
  6. Step 6: Final answer
    x = 828.65

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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.