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Finding the Fourth Proportional to 2,538.74, 3,809.23 and 1,367.38

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Solution

The fourth proportional to 2,538.74, 3,809.23 and 1,367.38 is: 2,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.74 : 3,809.23 = 1,367.38 : x
  2. Step 2: Convert to fraction form
    2,538.74/3,809.23 = 1,367.38/x
  3. Step 3: Cross multiply
    2,538.74x = 3,809.23 × 1,367.38
  4. Step 4: Simplify right side
    2,538.74x = 5,208,666.26
  5. Step 5: Solve for x
    x = 5,208,666.26/2,538.74
  6. Step 6: Final answer
    x = 2,051.67

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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.