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Finding the Fourth Proportional to 2,725.94, 4,086 and 1,166.67

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Solution

The fourth proportional to 2,725.94, 4,086 and 1,166.67 is: 1,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.94 : 4,086 = 1,166.67 : x
  2. Step 2: Convert to fraction form
    2,725.94/4,086 = 1,166.67/x
  3. Step 3: Cross multiply
    2,725.94x = 4,086 × 1,166.67
  4. Step 4: Simplify right side
    2,725.94x = 4,767,013.62
  5. Step 5: Solve for x
    x = 4,767,013.62/2,725.94
  6. Step 6: Final answer
    x = 1,748.76

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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.