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Finding the Fourth Proportional to 2,968.80, 4,096.84 and 1,709.82

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Solution

The fourth proportional to 2,968.80, 4,096.84 and 1,709.82 is: 2,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.80 : 4,096.84 = 1,709.82 : x
  2. Step 2: Convert to fraction form
    2,968.80/4,096.84 = 1,709.82/x
  3. Step 3: Cross multiply
    2,968.80x = 4,096.84 × 1,709.82
  4. Step 4: Simplify right side
    2,968.80x = 7,004,858.97
  5. Step 5: Solve for x
    x = 7,004,858.97/2,968.80
  6. Step 6: Final answer
    x = 2,359.49

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Why These Related Problems?

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