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Finding the Fourth Proportional to 2,285.73, 3,428.54 and 642.39

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Solution

The fourth proportional to 2,285.73, 3,428.54 and 642.39 is: 963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.73 : 3,428.54 = 642.39 : x
  2. Step 2: Convert to fraction form
    2,285.73/3,428.54 = 642.39/x
  3. Step 3: Cross multiply
    2,285.73x = 3,428.54 × 642.39
  4. Step 4: Simplify right side
    2,285.73x = 2,202,456.60
  5. Step 5: Solve for x
    x = 2,202,456.60/2,285.73
  6. Step 6: Final answer
    x = 963.57

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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.