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Finding the Fourth Proportional to 3,107.94, 4,663.50 and 2,068.68

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Solution

The fourth proportional to 3,107.94, 4,663.50 and 2,068.68 is: 3,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.94 : 4,663.50 = 2,068.68 : x
  2. Step 2: Convert to fraction form
    3,107.94/4,663.50 = 2,068.68/x
  3. Step 3: Cross multiply
    3,107.94x = 4,663.50 × 2,068.68
  4. Step 4: Simplify right side
    3,107.94x = 9,647,289.18
  5. Step 5: Solve for x
    x = 9,647,289.18/3,107.94
  6. Step 6: Final answer
    x = 3,104.08

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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.