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Finding the Fourth Proportional to 2,883.57, 3,979.11 and 1,764.05

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Solution

The fourth proportional to 2,883.57, 3,979.11 and 1,764.05 is: 2,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.57 : 3,979.11 = 1,764.05 : x
  2. Step 2: Convert to fraction form
    2,883.57/3,979.11 = 1,764.05/x
  3. Step 3: Cross multiply
    2,883.57x = 3,979.11 × 1,764.05
  4. Step 4: Simplify right side
    2,883.57x = 7,019,329.10
  5. Step 5: Solve for x
    x = 7,019,329.10/2,883.57
  6. Step 6: Final answer
    x = 2,434.25

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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.