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Finding the Fourth Proportional to 2,294.07, 3,441.23 and 650.48

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Solution

The fourth proportional to 2,294.07, 3,441.23 and 650.48 is: 975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.07 : 3,441.23 = 650.48 : x
  2. Step 2: Convert to fraction form
    2,294.07/3,441.23 = 650.48/x
  3. Step 3: Cross multiply
    2,294.07x = 3,441.23 × 650.48
  4. Step 4: Simplify right side
    2,294.07x = 2,238,467.97
  5. Step 5: Solve for x
    x = 2,238,467.97/2,294.07
  6. Step 6: Final answer
    x = 975.76

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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.