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Finding the Fourth Proportional to 2,539.33, 3,809.07 and 690.44

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Solution

The fourth proportional to 2,539.33, 3,809.07 and 690.44 is: 1,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.33 : 3,809.07 = 690.44 : x
  2. Step 2: Convert to fraction form
    2,539.33/3,809.07 = 690.44/x
  3. Step 3: Cross multiply
    2,539.33x = 3,809.07 × 690.44
  4. Step 4: Simplify right side
    2,539.33x = 2,629,915.25
  5. Step 5: Solve for x
    x = 2,629,915.25/2,539.33
  6. Step 6: Final answer
    x = 1,035.67

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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.