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Finding the Fourth Proportional to 2,790.42, 4,185.96 and 941.72

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Solution

The fourth proportional to 2,790.42, 4,185.96 and 941.72 is: 1,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.42 : 4,185.96 = 941.72 : x
  2. Step 2: Convert to fraction form
    2,790.42/4,185.96 = 941.72/x
  3. Step 3: Cross multiply
    2,790.42x = 4,185.96 × 941.72
  4. Step 4: Simplify right side
    2,790.42x = 3,942,002.25
  5. Step 5: Solve for x
    x = 3,942,002.25/2,790.42
  6. Step 6: Final answer
    x = 1,412.69

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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.