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Finding the Fourth Proportional to 2,940.12, 4,409.10 and 859.59

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Solution

The fourth proportional to 2,940.12, 4,409.10 and 859.59 is: 1,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.12 : 4,409.10 = 859.59 : x
  2. Step 2: Convert to fraction form
    2,940.12/4,409.10 = 859.59/x
  3. Step 3: Cross multiply
    2,940.12x = 4,409.10 × 859.59
  4. Step 4: Simplify right side
    2,940.12x = 3,790,018.27
  5. Step 5: Solve for x
    x = 3,790,018.27/2,940.12
  6. Step 6: Final answer
    x = 1,289.07

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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.