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Finding the Fourth Proportional to 2,108.10, 2,908.80 and 1,361.91

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Solution

The fourth proportional to 2,108.10, 2,908.80 and 1,361.91 is: 1,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.10 : 2,908.80 = 1,361.91 : x
  2. Step 2: Convert to fraction form
    2,108.10/2,908.80 = 1,361.91/x
  3. Step 3: Cross multiply
    2,108.10x = 2,908.80 × 1,361.91
  4. Step 4: Simplify right side
    2,108.10x = 3,961,523.81
  5. Step 5: Solve for x
    x = 3,961,523.81/2,108.10
  6. Step 6: Final answer
    x = 1,879.19

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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.