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Finding the Fourth Proportional to 2,544.75, 3,806.57 and 2,389.23

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Solution

The fourth proportional to 2,544.75, 3,806.57 and 2,389.23 is: 3,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.75 : 3,806.57 = 2,389.23 : x
  2. Step 2: Convert to fraction form
    2,544.75/3,806.57 = 2,389.23/x
  3. Step 3: Cross multiply
    2,544.75x = 3,806.57 × 2,389.23
  4. Step 4: Simplify right side
    2,544.75x = 9,094,777.21
  5. Step 5: Solve for x
    x = 9,094,777.21/2,544.75
  6. Step 6: Final answer
    x = 3,573.94

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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.