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Finding the Fourth Proportional to 1,906.35, 2,854.41 and 1,846.91

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Solution

The fourth proportional to 1,906.35, 2,854.41 and 1,846.91 is: 2,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.35 : 2,854.41 = 1,846.91 : x
  2. Step 2: Convert to fraction form
    1,906.35/2,854.41 = 1,846.91/x
  3. Step 3: Cross multiply
    1,906.35x = 2,854.41 × 1,846.91
  4. Step 4: Simplify right side
    1,906.35x = 5,271,838.58
  5. Step 5: Solve for x
    x = 5,271,838.58/1,906.35
  6. Step 6: Final answer
    x = 2,765.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.