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Finding the Fourth Proportional to 2,085.80, 2,879.35 and 1,414.44

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Solution

The fourth proportional to 2,085.80, 2,879.35 and 1,414.44 is: 1,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.80 : 2,879.35 = 1,414.44 : x
  2. Step 2: Convert to fraction form
    2,085.80/2,879.35 = 1,414.44/x
  3. Step 3: Cross multiply
    2,085.80x = 2,879.35 × 1,414.44
  4. Step 4: Simplify right side
    2,085.80x = 4,072,667.81
  5. Step 5: Solve for x
    x = 4,072,667.81/2,085.80
  6. Step 6: Final answer
    x = 1,952.57

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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.