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Finding the Fourth Proportional to 2,175.85, 3,003.04 and 1,616.95

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Solution

The fourth proportional to 2,175.85, 3,003.04 and 1,616.95 is: 2,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.85 : 3,003.04 = 1,616.95 : x
  2. Step 2: Convert to fraction form
    2,175.85/3,003.04 = 1,616.95/x
  3. Step 3: Cross multiply
    2,175.85x = 3,003.04 × 1,616.95
  4. Step 4: Simplify right side
    2,175.85x = 4,855,765.53
  5. Step 5: Solve for x
    x = 4,855,765.53/2,175.85
  6. Step 6: Final answer
    x = 2,231.66

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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.