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Finding the Fourth Proportional to 2,085.83, 2,879.17 and 1,201.98

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Solution

The fourth proportional to 2,085.83, 2,879.17 and 1,201.98 is: 1,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.83 : 2,879.17 = 1,201.98 : x
  2. Step 2: Convert to fraction form
    2,085.83/2,879.17 = 1,201.98/x
  3. Step 3: Cross multiply
    2,085.83x = 2,879.17 × 1,201.98
  4. Step 4: Simplify right side
    2,085.83x = 3,460,704.76
  5. Step 5: Solve for x
    x = 3,460,704.76/2,085.83
  6. Step 6: Final answer
    x = 1,659.15

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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.