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Finding the Fourth Proportional to 2,108.94, 2,908.22 and 1,363.28

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Solution

The fourth proportional to 2,108.94, 2,908.22 and 1,363.28 is: 1,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.94 : 2,908.22 = 1,363.28 : x
  2. Step 2: Convert to fraction form
    2,108.94/2,908.22 = 1,363.28/x
  3. Step 3: Cross multiply
    2,108.94x = 2,908.22 × 1,363.28
  4. Step 4: Simplify right side
    2,108.94x = 3,964,718.16
  5. Step 5: Solve for x
    x = 3,964,718.16/2,108.94
  6. Step 6: Final answer
    x = 1,879.96

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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.