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Finding the Fourth Proportional to 2,556.21, 3,834.24 and 912.62

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Solution

The fourth proportional to 2,556.21, 3,834.24 and 912.62 is: 1,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.21 : 3,834.24 = 912.62 : x
  2. Step 2: Convert to fraction form
    2,556.21/3,834.24 = 912.62/x
  3. Step 3: Cross multiply
    2,556.21x = 3,834.24 × 912.62
  4. Step 4: Simplify right side
    2,556.21x = 3,499,188.70
  5. Step 5: Solve for x
    x = 3,499,188.70/2,556.21
  6. Step 6: Final answer
    x = 1,368.90

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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.