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Finding the Fourth Proportional to 2,884.26, 3,980.10 and 1,608.06

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Solution

The fourth proportional to 2,884.26, 3,980.10 and 1,608.06 is: 2,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.26 : 3,980.10 = 1,608.06 : x
  2. Step 2: Convert to fraction form
    2,884.26/3,980.10 = 1,608.06/x
  3. Step 3: Cross multiply
    2,884.26x = 3,980.10 × 1,608.06
  4. Step 4: Simplify right side
    2,884.26x = 6,400,239.61
  5. Step 5: Solve for x
    x = 6,400,239.61/2,884.26
  6. Step 6: Final answer
    x = 2,219.02

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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.