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Finding the Fourth Proportional to 2,375.89, 3,563.89 and 815.88

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Solution

The fourth proportional to 2,375.89, 3,563.89 and 815.88 is: 1,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.89 : 3,563.89 = 815.88 : x
  2. Step 2: Convert to fraction form
    2,375.89/3,563.89 = 815.88/x
  3. Step 3: Cross multiply
    2,375.89x = 3,563.89 × 815.88
  4. Step 4: Simplify right side
    2,375.89x = 2,907,706.57
  5. Step 5: Solve for x
    x = 2,907,706.57/2,375.89
  6. Step 6: Final answer
    x = 1,223.84

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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.