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Finding the Fourth Proportional to 2,177.50, 3,003.41 and 1,338.67

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Solution

The fourth proportional to 2,177.50, 3,003.41 and 1,338.67 is: 1,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.50 : 3,003.41 = 1,338.67 : x
  2. Step 2: Convert to fraction form
    2,177.50/3,003.41 = 1,338.67/x
  3. Step 3: Cross multiply
    2,177.50x = 3,003.41 × 1,338.67
  4. Step 4: Simplify right side
    2,177.50x = 4,020,574.44
  5. Step 5: Solve for x
    x = 4,020,574.44/2,177.50
  6. Step 6: Final answer
    x = 1,846.42

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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.