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Finding the Fourth Proportional to 1,906.12, 2,626.49 and 1,781.92

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Solution

The fourth proportional to 1,906.12, 2,626.49 and 1,781.92 is: 2,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.12 : 2,626.49 = 1,781.92 : x
  2. Step 2: Convert to fraction form
    1,906.12/2,626.49 = 1,781.92/x
  3. Step 3: Cross multiply
    1,906.12x = 2,626.49 × 1,781.92
  4. Step 4: Simplify right side
    1,906.12x = 4,680,173.02
  5. Step 5: Solve for x
    x = 4,680,173.02/1,906.12
  6. Step 6: Final answer
    x = 2,455.35

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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.