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Finding the Fourth Proportional to 2,108.41, 2,906.29 and 1,444.11

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Solution

The fourth proportional to 2,108.41, 2,906.29 and 1,444.11 is: 1,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.41 : 2,906.29 = 1,444.11 : x
  2. Step 2: Convert to fraction form
    2,108.41/2,906.29 = 1,444.11/x
  3. Step 3: Cross multiply
    2,108.41x = 2,906.29 × 1,444.11
  4. Step 4: Simplify right side
    2,108.41x = 4,197,002.45
  5. Step 5: Solve for x
    x = 4,197,002.45/2,108.41
  6. Step 6: Final answer
    x = 1,990.60

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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.