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Finding the Fourth Proportional to 1,879.75, 2,820.29 and 581.22

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Solution

The fourth proportional to 1,879.75, 2,820.29 and 581.22 is: 872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.75 : 2,820.29 = 581.22 : x
  2. Step 2: Convert to fraction form
    1,879.75/2,820.29 = 581.22/x
  3. Step 3: Cross multiply
    1,879.75x = 2,820.29 × 581.22
  4. Step 4: Simplify right side
    1,879.75x = 1,639,206.05
  5. Step 5: Solve for x
    x = 1,639,206.05/1,879.75
  6. Step 6: Final answer
    x = 872.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.