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Finding the Fourth Proportional to 4,661.68, 6,992.90 and 2,029.27

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Solution

The fourth proportional to 4,661.68, 6,992.90 and 2,029.27 is: 3,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.68 : 6,992.90 = 2,029.27 : x
  2. Step 2: Convert to fraction form
    4,661.68/6,992.90 = 2,029.27/x
  3. Step 3: Cross multiply
    4,661.68x = 6,992.90 × 2,029.27
  4. Step 4: Simplify right side
    4,661.68x = 14,190,487.26
  5. Step 5: Solve for x
    x = 14,190,487.26/4,661.68
  6. Step 6: Final answer
    x = 3,044.07

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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.