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Finding the Fourth Proportional to 2,294.24, 3,441.53 and 650.92

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Solution

The fourth proportional to 2,294.24, 3,441.53 and 650.92 is: 976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.24 : 3,441.53 = 650.92 : x
  2. Step 2: Convert to fraction form
    2,294.24/3,441.53 = 650.92/x
  3. Step 3: Cross multiply
    2,294.24x = 3,441.53 × 650.92
  4. Step 4: Simplify right side
    2,294.24x = 2,240,140.25
  5. Step 5: Solve for x
    x = 2,240,140.25/2,294.24
  6. Step 6: Final answer
    x = 976.42

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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.