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Finding the Fourth Proportional to 1,338.25, 1,847.73 and 1,089.19

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Solution

The fourth proportional to 1,338.25, 1,847.73 and 1,089.19 is: 1,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.25 : 1,847.73 = 1,089.19 : x
  2. Step 2: Convert to fraction form
    1,338.25/1,847.73 = 1,089.19/x
  3. Step 3: Cross multiply
    1,338.25x = 1,847.73 × 1,089.19
  4. Step 4: Simplify right side
    1,338.25x = 2,012,529.04
  5. Step 5: Solve for x
    x = 2,012,529.04/1,338.25
  6. Step 6: Final answer
    x = 1,503.85

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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.