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Finding the Fourth Proportional to 1,906.01, 2,858.49 and 673.25

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Solution

The fourth proportional to 1,906.01, 2,858.49 and 673.25 is: 1,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.01 : 2,858.49 = 673.25 : x
  2. Step 2: Convert to fraction form
    1,906.01/2,858.49 = 673.25/x
  3. Step 3: Cross multiply
    1,906.01x = 2,858.49 × 673.25
  4. Step 4: Simplify right side
    1,906.01x = 1,924,464.10
  5. Step 5: Solve for x
    x = 1,924,464.10/1,906.01
  6. Step 6: Final answer
    x = 1,009.68

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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.