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Finding the Fourth Proportional to 2,590.86, 3,880.89 and 1,933.68

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Solution

The fourth proportional to 2,590.86, 3,880.89 and 1,933.68 is: 2,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.86 : 3,880.89 = 1,933.68 : x
  2. Step 2: Convert to fraction form
    2,590.86/3,880.89 = 1,933.68/x
  3. Step 3: Cross multiply
    2,590.86x = 3,880.89 × 1,933.68
  4. Step 4: Simplify right side
    2,590.86x = 7,504,399.38
  5. Step 5: Solve for x
    x = 7,504,399.38/2,590.86
  6. Step 6: Final answer
    x = 2,896.49

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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.