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Finding the Fourth Proportional to 2,940.30, 4,411.26 and 1,642.68

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Solution

The fourth proportional to 2,940.30, 4,411.26 and 1,642.68 is: 2,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.30 : 4,411.26 = 1,642.68 : x
  2. Step 2: Convert to fraction form
    2,940.30/4,411.26 = 1,642.68/x
  3. Step 3: Cross multiply
    2,940.30x = 4,411.26 × 1,642.68
  4. Step 4: Simplify right side
    2,940.30x = 7,246,288.58
  5. Step 5: Solve for x
    x = 7,246,288.58/2,940.30
  6. Step 6: Final answer
    x = 2,464.47

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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.