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Finding the Fourth Proportional to 2,175.56, 3,002.27 and 1,180.83

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Solution

The fourth proportional to 2,175.56, 3,002.27 and 1,180.83 is: 1,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.56 : 3,002.27 = 1,180.83 : x
  2. Step 2: Convert to fraction form
    2,175.56/3,002.27 = 1,180.83/x
  3. Step 3: Cross multiply
    2,175.56x = 3,002.27 × 1,180.83
  4. Step 4: Simplify right side
    2,175.56x = 3,545,184.69
  5. Step 5: Solve for x
    x = 3,545,184.69/2,175.56
  6. Step 6: Final answer
    x = 1,629.55

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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.