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Finding the Fourth Proportional to 2,701.77, 4,047.18 and 2,083.33

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Solution

The fourth proportional to 2,701.77, 4,047.18 and 2,083.33 is: 3,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.77 : 4,047.18 = 2,083.33 : x
  2. Step 2: Convert to fraction form
    2,701.77/4,047.18 = 2,083.33/x
  3. Step 3: Cross multiply
    2,701.77x = 4,047.18 × 2,083.33
  4. Step 4: Simplify right side
    2,701.77x = 8,431,611.51
  5. Step 5: Solve for x
    x = 8,431,611.51/2,701.77
  6. Step 6: Final answer
    x = 3,120.78

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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.