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Finding the Fourth Proportional to 1,906.33, 2,635.55 and 1,408.18

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Solution

The fourth proportional to 1,906.33, 2,635.55 and 1,408.18 is: 1,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.33 : 2,635.55 = 1,408.18 : x
  2. Step 2: Convert to fraction form
    1,906.33/2,635.55 = 1,408.18/x
  3. Step 3: Cross multiply
    1,906.33x = 2,635.55 × 1,408.18
  4. Step 4: Simplify right side
    1,906.33x = 3,711,325.39
  5. Step 5: Solve for x
    x = 3,711,325.39/1,906.33
  6. Step 6: Final answer
    x = 1,946.84

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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.