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Finding the Fourth Proportional to 2,399.86, 3,590.87 and 2,105.98

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Solution

The fourth proportional to 2,399.86, 3,590.87 and 2,105.98 is: 3,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.86 : 3,590.87 = 2,105.98 : x
  2. Step 2: Convert to fraction form
    2,399.86/3,590.87 = 2,105.98/x
  3. Step 3: Cross multiply
    2,399.86x = 3,590.87 × 2,105.98
  4. Step 4: Simplify right side
    2,399.86x = 7,562,271.92
  5. Step 5: Solve for x
    x = 7,562,271.92/2,399.86
  6. Step 6: Final answer
    x = 3,151.14

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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.