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Finding the Fourth Proportional to 1,289.34, 1,923.54 and 1,183.62

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Solution

The fourth proportional to 1,289.34, 1,923.54 and 1,183.62 is: 1,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.34 : 1,923.54 = 1,183.62 : x
  2. Step 2: Convert to fraction form
    1,289.34/1,923.54 = 1,183.62/x
  3. Step 3: Cross multiply
    1,289.34x = 1,923.54 × 1,183.62
  4. Step 4: Simplify right side
    1,289.34x = 2,276,740.41
  5. Step 5: Solve for x
    x = 2,276,740.41/1,289.34
  6. Step 6: Final answer
    x = 1,765.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.