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Finding the Fourth Proportional to 2,792.76, 4,188.72 and 817.86

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Solution

The fourth proportional to 2,792.76, 4,188.72 and 817.86 is: 1,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.76 : 4,188.72 = 817.86 : x
  2. Step 2: Convert to fraction form
    2,792.76/4,188.72 = 817.86/x
  3. Step 3: Cross multiply
    2,792.76x = 4,188.72 × 817.86
  4. Step 4: Simplify right side
    2,792.76x = 3,425,786.54
  5. Step 5: Solve for x
    x = 3,425,786.54/2,792.76
  6. Step 6: Final answer
    x = 1,226.67

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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.