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Finding the Fourth Proportional to 2,790.12, 4,184.49 and 941.19

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Solution

The fourth proportional to 2,790.12, 4,184.49 and 941.19 is: 1,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.12 : 4,184.49 = 941.19 : x
  2. Step 2: Convert to fraction form
    2,790.12/4,184.49 = 941.19/x
  3. Step 3: Cross multiply
    2,790.12x = 4,184.49 × 941.19
  4. Step 4: Simplify right side
    2,790.12x = 3,938,400.14
  5. Step 5: Solve for x
    x = 3,938,400.14/2,790.12
  6. Step 6: Final answer
    x = 1,411.55

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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.