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Finding the Fourth Proportional to 2,884.49, 3,980.61 and 1,625.57

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Solution

The fourth proportional to 2,884.49, 3,980.61 and 1,625.57 is: 2,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.49 : 3,980.61 = 1,625.57 : x
  2. Step 2: Convert to fraction form
    2,884.49/3,980.61 = 1,625.57/x
  3. Step 3: Cross multiply
    2,884.49x = 3,980.61 × 1,625.57
  4. Step 4: Simplify right side
    2,884.49x = 6,470,760.20
  5. Step 5: Solve for x
    x = 6,470,760.20/2,884.49
  6. Step 6: Final answer
    x = 2,243.29

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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.