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Finding the Fourth Proportional to 1,847.30, 2,772.17 and 1,361.49

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Solution

The fourth proportional to 1,847.30, 2,772.17 and 1,361.49 is: 2,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.30 : 2,772.17 = 1,361.49 : x
  2. Step 2: Convert to fraction form
    1,847.30/2,772.17 = 1,361.49/x
  3. Step 3: Cross multiply
    1,847.30x = 2,772.17 × 1,361.49
  4. Step 4: Simplify right side
    1,847.30x = 3,774,274.93
  5. Step 5: Solve for x
    x = 3,774,274.93/1,847.30
  6. Step 6: Final answer
    x = 2,043.14

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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.