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Finding the Fourth Proportional to 2,106.80, 2,908.94 and 1,361.20

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Solution

The fourth proportional to 2,106.80, 2,908.94 and 1,361.20 is: 1,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.80 : 2,908.94 = 1,361.20 : x
  2. Step 2: Convert to fraction form
    2,106.80/2,908.94 = 1,361.20/x
  3. Step 3: Cross multiply
    2,106.80x = 2,908.94 × 1,361.20
  4. Step 4: Simplify right side
    2,106.80x = 3,959,649.13
  5. Step 5: Solve for x
    x = 3,959,649.13/2,106.80
  6. Step 6: Final answer
    x = 1,879.46

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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.