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Finding the Fourth Proportional to 2,673.99, 3,689.46 and 2,175.80

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Solution

The fourth proportional to 2,673.99, 3,689.46 and 2,175.80 is: 3,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.99 : 3,689.46 = 2,175.80 : x
  2. Step 2: Convert to fraction form
    2,673.99/3,689.46 = 2,175.80/x
  3. Step 3: Cross multiply
    2,673.99x = 3,689.46 × 2,175.80
  4. Step 4: Simplify right side
    2,673.99x = 8,027,508.62
  5. Step 5: Solve for x
    x = 8,027,508.62/2,673.99
  6. Step 6: Final answer
    x = 3,002.07

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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.