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Finding the Fourth Proportional to 2,115.83, 3,177.53 and 1,843.67

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Solution

The fourth proportional to 2,115.83, 3,177.53 and 1,843.67 is: 2,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.83 : 3,177.53 = 1,843.67 : x
  2. Step 2: Convert to fraction form
    2,115.83/3,177.53 = 1,843.67/x
  3. Step 3: Cross multiply
    2,115.83x = 3,177.53 × 1,843.67
  4. Step 4: Simplify right side
    2,115.83x = 5,858,316.74
  5. Step 5: Solve for x
    x = 5,858,316.74/2,115.83
  6. Step 6: Final answer
    x = 2,768.80

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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.