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Finding the Fourth Proportional to 2,192.75, 3,289.70 and 653.75

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Solution

The fourth proportional to 2,192.75, 3,289.70 and 653.75 is: 980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.75 : 3,289.70 = 653.75 : x
  2. Step 2: Convert to fraction form
    2,192.75/3,289.70 = 653.75/x
  3. Step 3: Cross multiply
    2,192.75x = 3,289.70 × 653.75
  4. Step 4: Simplify right side
    2,192.75x = 2,150,638.11
  5. Step 5: Solve for x
    x = 2,150,638.11/2,192.75
  6. Step 6: Final answer
    x = 980.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.