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Finding the Fourth Proportional to 2,833.39, 4,249.95 and 858.94

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Solution

The fourth proportional to 2,833.39, 4,249.95 and 858.94 is: 1,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.39 : 4,249.95 = 858.94 : x
  2. Step 2: Convert to fraction form
    2,833.39/4,249.95 = 858.94/x
  3. Step 3: Cross multiply
    2,833.39x = 4,249.95 × 858.94
  4. Step 4: Simplify right side
    2,833.39x = 3,650,438.21
  5. Step 5: Solve for x
    x = 3,650,438.21/2,833.39
  6. Step 6: Final answer
    x = 1,288.36

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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.