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Finding the Fourth Proportional to 2,175.50, 3,002.17 and 1,180.81

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Solution

The fourth proportional to 2,175.50, 3,002.17 and 1,180.81 is: 1,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.50 : 3,002.17 = 1,180.81 : x
  2. Step 2: Convert to fraction form
    2,175.50/3,002.17 = 1,180.81/x
  3. Step 3: Cross multiply
    2,175.50x = 3,002.17 × 1,180.81
  4. Step 4: Simplify right side
    2,175.50x = 3,544,992.36
  5. Step 5: Solve for x
    x = 3,544,992.36/2,175.50
  6. Step 6: Final answer
    x = 1,629.51

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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.