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Finding the Fourth Proportional to 2,367.89, 3,546.36 and 2,285.88

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Solution

The fourth proportional to 2,367.89, 3,546.36 and 2,285.88 is: 3,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.89 : 3,546.36 = 2,285.88 : x
  2. Step 2: Convert to fraction form
    2,367.89/3,546.36 = 2,285.88/x
  3. Step 3: Cross multiply
    2,367.89x = 3,546.36 × 2,285.88
  4. Step 4: Simplify right side
    2,367.89x = 8,106,553.40
  5. Step 5: Solve for x
    x = 8,106,553.40/2,367.89
  6. Step 6: Final answer
    x = 3,423.53

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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.