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Finding the Fourth Proportional to 1,908.67, 2,858.36 and 1,322.00

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Solution

The fourth proportional to 1,908.67, 2,858.36 and 1,322.00 is: 1,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.67 : 2,858.36 = 1,322.00 : x
  2. Step 2: Convert to fraction form
    1,908.67/2,858.36 = 1,322.00/x
  3. Step 3: Cross multiply
    1,908.67x = 2,858.36 × 1,322.00
  4. Step 4: Simplify right side
    1,908.67x = 3,778,744.85
  5. Step 5: Solve for x
    x = 3,778,744.85/1,908.67
  6. Step 6: Final answer
    x = 1,979.78

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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.