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Finding the Fourth Proportional to 1,361.83, 2,039.86 and 1,130.17

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Solution

The fourth proportional to 1,361.83, 2,039.86 and 1,130.17 is: 1,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.83 : 2,039.86 = 1,130.17 : x
  2. Step 2: Convert to fraction form
    1,361.83/2,039.86 = 1,130.17/x
  3. Step 3: Cross multiply
    1,361.83x = 2,039.86 × 1,130.17
  4. Step 4: Simplify right side
    1,361.83x = 2,305,388.58
  5. Step 5: Solve for x
    x = 2,305,388.58/1,361.83
  6. Step 6: Final answer
    x = 1,692.86

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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.