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Finding the Fourth Proportional to 2,085.66, 2,878.22 and 1,141.44

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Solution

The fourth proportional to 2,085.66, 2,878.22 and 1,141.44 is: 1,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.66 : 2,878.22 = 1,141.44 : x
  2. Step 2: Convert to fraction form
    2,085.66/2,878.22 = 1,141.44/x
  3. Step 3: Cross multiply
    2,085.66x = 2,878.22 × 1,141.44
  4. Step 4: Simplify right side
    2,085.66x = 3,285,309.73
  5. Step 5: Solve for x
    x = 3,285,309.73/2,085.66
  6. Step 6: Final answer
    x = 1,575.19

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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.