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Finding the Fourth Proportional to 1,807.44, 2,711.48 and 681.68

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Solution

The fourth proportional to 1,807.44, 2,711.48 and 681.68 is: 1,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.44 : 2,711.48 = 681.68 : x
  2. Step 2: Convert to fraction form
    1,807.44/2,711.48 = 681.68/x
  3. Step 3: Cross multiply
    1,807.44x = 2,711.48 × 681.68
  4. Step 4: Simplify right side
    1,807.44x = 1,848,361.69
  5. Step 5: Solve for x
    x = 1,848,361.69/1,807.44
  6. Step 6: Final answer
    x = 1,022.64

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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.