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Finding the Fourth Proportional to 2,379.94, 3,569.94 and 839.86

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Solution

The fourth proportional to 2,379.94, 3,569.94 and 839.86 is: 1,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.94 : 3,569.94 = 839.86 : x
  2. Step 2: Convert to fraction form
    2,379.94/3,569.94 = 839.86/x
  3. Step 3: Cross multiply
    2,379.94x = 3,569.94 × 839.86
  4. Step 4: Simplify right side
    2,379.94x = 2,998,249.81
  5. Step 5: Solve for x
    x = 2,998,249.81/2,379.94
  6. Step 6: Final answer
    x = 1,259.80

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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.