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Finding the Fourth Proportional to 1,394.45, 1,923.41 and 1,166.69

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Solution

The fourth proportional to 1,394.45, 1,923.41 and 1,166.69 is: 1,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.45 : 1,923.41 = 1,166.69 : x
  2. Step 2: Convert to fraction form
    1,394.45/1,923.41 = 1,166.69/x
  3. Step 3: Cross multiply
    1,394.45x = 1,923.41 × 1,166.69
  4. Step 4: Simplify right side
    1,394.45x = 2,244,023.21
  5. Step 5: Solve for x
    x = 2,244,023.21/1,394.45
  6. Step 6: Final answer
    x = 1,609.25

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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.