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Finding the Fourth Proportional to 2,721.75, 4,083.16 and 1,055.82

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Solution

The fourth proportional to 2,721.75, 4,083.16 and 1,055.82 is: 1,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.75 : 4,083.16 = 1,055.82 : x
  2. Step 2: Convert to fraction form
    2,721.75/4,083.16 = 1,055.82/x
  3. Step 3: Cross multiply
    2,721.75x = 4,083.16 × 1,055.82
  4. Step 4: Simplify right side
    2,721.75x = 4,311,081.99
  5. Step 5: Solve for x
    x = 4,311,081.99/2,721.75
  6. Step 6: Final answer
    x = 1,583.94

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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.