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Finding the Fourth Proportional to 1,879.66, 2,819.76 and 581.14

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Solution

The fourth proportional to 1,879.66, 2,819.76 and 581.14 is: 871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.66 : 2,819.76 = 581.14 : x
  2. Step 2: Convert to fraction form
    1,879.66/2,819.76 = 581.14/x
  3. Step 3: Cross multiply
    1,879.66x = 2,819.76 × 581.14
  4. Step 4: Simplify right side
    1,879.66x = 1,638,675.33
  5. Step 5: Solve for x
    x = 1,638,675.33/1,879.66
  6. Step 6: Final answer
    x = 871.79

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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.