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Finding the Fourth Proportional to 2,378.75, 3,561.26 and 1,388.57

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Solution

The fourth proportional to 2,378.75, 3,561.26 and 1,388.57 is: 2,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.75 : 3,561.26 = 1,388.57 : x
  2. Step 2: Convert to fraction form
    2,378.75/3,561.26 = 1,388.57/x
  3. Step 3: Cross multiply
    2,378.75x = 3,561.26 × 1,388.57
  4. Step 4: Simplify right side
    2,378.75x = 4,945,034.05
  5. Step 5: Solve for x
    x = 4,945,034.05/2,378.75
  6. Step 6: Final answer
    x = 2,078.84

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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.