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Finding the Fourth Proportional to 2,778.36, 4,183.72 and 2,053

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Solution

The fourth proportional to 2,778.36, 4,183.72 and 2,053 is: 3,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.36 : 4,183.72 = 2,053 : x
  2. Step 2: Convert to fraction form
    2,778.36/4,183.72 = 2,053/x
  3. Step 3: Cross multiply
    2,778.36x = 4,183.72 × 2,053
  4. Step 4: Simplify right side
    2,778.36x = 8,589,177.16
  5. Step 5: Solve for x
    x = 8,589,177.16/2,778.36
  6. Step 6: Final answer
    x = 3,091.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.