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Finding the Fourth Proportional to 2,447.12, 3,672.84 and 1,293.68

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Solution

The fourth proportional to 2,447.12, 3,672.84 and 1,293.68 is: 1,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.12 : 3,672.84 = 1,293.68 : x
  2. Step 2: Convert to fraction form
    2,447.12/3,672.84 = 1,293.68/x
  3. Step 3: Cross multiply
    2,447.12x = 3,672.84 × 1,293.68
  4. Step 4: Simplify right side
    2,447.12x = 4,751,479.65
  5. Step 5: Solve for x
    x = 4,751,479.65/2,447.12
  6. Step 6: Final answer
    x = 1,941.66

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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.