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Finding the Fourth Proportional to 2,294.31, 3,441.09 and 650.49

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Solution

The fourth proportional to 2,294.31, 3,441.09 and 650.49 is: 975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.31 : 3,441.09 = 650.49 : x
  2. Step 2: Convert to fraction form
    2,294.31/3,441.09 = 650.49/x
  3. Step 3: Cross multiply
    2,294.31x = 3,441.09 × 650.49
  4. Step 4: Simplify right side
    2,294.31x = 2,238,394.63
  5. Step 5: Solve for x
    x = 2,238,394.63/2,294.31
  6. Step 6: Final answer
    x = 975.63

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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.