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Finding the Fourth Proportional to 2,923.86, 4,383.36 and 1,689.42

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Solution

The fourth proportional to 2,923.86, 4,383.36 and 1,689.42 is: 2,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.86 : 4,383.36 = 1,689.42 : x
  2. Step 2: Convert to fraction form
    2,923.86/4,383.36 = 1,689.42/x
  3. Step 3: Cross multiply
    2,923.86x = 4,383.36 × 1,689.42
  4. Step 4: Simplify right side
    2,923.86x = 7,405,336.05
  5. Step 5: Solve for x
    x = 7,405,336.05/2,923.86
  6. Step 6: Final answer
    x = 2,532.73

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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.