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Finding the Fourth Proportional to 2,294.02, 3,441.22 and 650.60

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Solution

The fourth proportional to 2,294.02, 3,441.22 and 650.60 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.02 : 3,441.22 = 650.60 : x
  2. Step 2: Convert to fraction form
    2,294.02/3,441.22 = 650.60/x
  3. Step 3: Cross multiply
    2,294.02x = 3,441.22 × 650.60
  4. Step 4: Simplify right side
    2,294.02x = 2,238,857.73
  5. Step 5: Solve for x
    x = 2,238,857.73/2,294.02
  6. Step 6: Final answer
    x = 975.95

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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.