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Finding the Fourth Proportional to 2,883.24, 3,978.35 and 1,873.03

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Solution

The fourth proportional to 2,883.24, 3,978.35 and 1,873.03 is: 2,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.24 : 3,978.35 = 1,873.03 : x
  2. Step 2: Convert to fraction form
    2,883.24/3,978.35 = 1,873.03/x
  3. Step 3: Cross multiply
    2,883.24x = 3,978.35 × 1,873.03
  4. Step 4: Simplify right side
    2,883.24x = 7,451,568.90
  5. Step 5: Solve for x
    x = 7,451,568.90/2,883.24
  6. Step 6: Final answer
    x = 2,584.44

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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.