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Finding the Fourth Proportional to 3,414.30, 4,711.74 and 1,922.23

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Solution

The fourth proportional to 3,414.30, 4,711.74 and 1,922.23 is: 2,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.30 : 4,711.74 = 1,922.23 : x
  2. Step 2: Convert to fraction form
    3,414.30/4,711.74 = 1,922.23/x
  3. Step 3: Cross multiply
    3,414.30x = 4,711.74 × 1,922.23
  4. Step 4: Simplify right side
    3,414.30x = 9,057,014.81
  5. Step 5: Solve for x
    x = 9,057,014.81/3,414.30
  6. Step 6: Final answer
    x = 2,652.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.