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Finding the Fourth Proportional to 2,183.78, 3,013.90 and 1,397.54

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Solution

The fourth proportional to 2,183.78, 3,013.90 and 1,397.54 is: 1,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.78 : 3,013.90 = 1,397.54 : x
  2. Step 2: Convert to fraction form
    2,183.78/3,013.90 = 1,397.54/x
  3. Step 3: Cross multiply
    2,183.78x = 3,013.90 × 1,397.54
  4. Step 4: Simplify right side
    2,183.78x = 4,212,045.81
  5. Step 5: Solve for x
    x = 4,212,045.81/2,183.78
  6. Step 6: Final answer
    x = 1,928.79

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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.