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Finding the Fourth Proportional to 2,968.91, 4,096.89 and 1,709.67

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Solution

The fourth proportional to 2,968.91, 4,096.89 and 1,709.67 is: 2,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.91 : 4,096.89 = 1,709.67 : x
  2. Step 2: Convert to fraction form
    2,968.91/4,096.89 = 1,709.67/x
  3. Step 3: Cross multiply
    2,968.91x = 4,096.89 × 1,709.67
  4. Step 4: Simplify right side
    2,968.91x = 7,004,329.93
  5. Step 5: Solve for x
    x = 7,004,329.93/2,968.91
  6. Step 6: Final answer
    x = 2,359.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.