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Finding the Fourth Proportional to 2,790.74, 4,186.60 and 941.87

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Solution

The fourth proportional to 2,790.74, 4,186.60 and 941.87 is: 1,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.74 : 4,186.60 = 941.87 : x
  2. Step 2: Convert to fraction form
    2,790.74/4,186.60 = 941.87/x
  3. Step 3: Cross multiply
    2,790.74x = 4,186.60 × 941.87
  4. Step 4: Simplify right side
    2,790.74x = 3,943,232.94
  5. Step 5: Solve for x
    x = 3,943,232.94/2,790.74
  6. Step 6: Final answer
    x = 1,412.97

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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.