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Finding the Fourth Proportional to 2,197.99, 3,289.16 and 1,762.04

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Solution

The fourth proportional to 2,197.99, 3,289.16 and 1,762.04 is: 2,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.99 : 3,289.16 = 1,762.04 : x
  2. Step 2: Convert to fraction form
    2,197.99/3,289.16 = 1,762.04/x
  3. Step 3: Cross multiply
    2,197.99x = 3,289.16 × 1,762.04
  4. Step 4: Simplify right side
    2,197.99x = 5,795,631.49
  5. Step 5: Solve for x
    x = 5,795,631.49/2,197.99
  6. Step 6: Final answer
    x = 2,636.79

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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.