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Finding the Fourth Proportional to 2,940.40, 4,407.52 and 1,842.24

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Solution

The fourth proportional to 2,940.40, 4,407.52 and 1,842.24 is: 2,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.40 : 4,407.52 = 1,842.24 : x
  2. Step 2: Convert to fraction form
    2,940.40/4,407.52 = 1,842.24/x
  3. Step 3: Cross multiply
    2,940.40x = 4,407.52 × 1,842.24
  4. Step 4: Simplify right side
    2,940.40x = 8,119,709.64
  5. Step 5: Solve for x
    x = 8,119,709.64/2,940.40
  6. Step 6: Final answer
    x = 2,761.43

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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.