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Finding the Fourth Proportional to 3,086.40, 4,254.84 and 1,906.80

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Solution

The fourth proportional to 3,086.40, 4,254.84 and 1,906.80 is: 2,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.40 : 4,254.84 = 1,906.80 : x
  2. Step 2: Convert to fraction form
    3,086.40/4,254.84 = 1,906.80/x
  3. Step 3: Cross multiply
    3,086.40x = 4,254.84 × 1,906.80
  4. Step 4: Simplify right side
    3,086.40x = 8,113,128.91
  5. Step 5: Solve for x
    x = 8,113,128.91/3,086.40
  6. Step 6: Final answer
    x = 2,628.67

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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.