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Finding the Fourth Proportional to 2,105.79, 2,906.34 and 1,607.49

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Solution

The fourth proportional to 2,105.79, 2,906.34 and 1,607.49 is: 2,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.79 : 2,906.34 = 1,607.49 : x
  2. Step 2: Convert to fraction form
    2,105.79/2,906.34 = 1,607.49/x
  3. Step 3: Cross multiply
    2,105.79x = 2,906.34 × 1,607.49
  4. Step 4: Simplify right side
    2,105.79x = 4,671,912.49
  5. Step 5: Solve for x
    x = 4,671,912.49/2,105.79
  6. Step 6: Final answer
    x = 2,218.60

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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.