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Finding the Fourth Proportional to 2,814.87, 3,885.06 and 1,620.66

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Solution

The fourth proportional to 2,814.87, 3,885.06 and 1,620.66 is: 2,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.87 : 3,885.06 = 1,620.66 : x
  2. Step 2: Convert to fraction form
    2,814.87/3,885.06 = 1,620.66/x
  3. Step 3: Cross multiply
    2,814.87x = 3,885.06 × 1,620.66
  4. Step 4: Simplify right side
    2,814.87x = 6,296,361.34
  5. Step 5: Solve for x
    x = 6,296,361.34/2,814.87
  6. Step 6: Final answer
    x = 2,236.82

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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.