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Finding the Fourth Proportional to 2,940.57, 4,412.61 and 1,186.41

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Solution

The fourth proportional to 2,940.57, 4,412.61 and 1,186.41 is: 1,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.57 : 4,412.61 = 1,186.41 : x
  2. Step 2: Convert to fraction form
    2,940.57/4,412.61 = 1,186.41/x
  3. Step 3: Cross multiply
    2,940.57x = 4,412.61 × 1,186.41
  4. Step 4: Simplify right side
    2,940.57x = 5,235,181.18
  5. Step 5: Solve for x
    x = 5,235,181.18/2,940.57
  6. Step 6: Final answer
    x = 1,780.33

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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.