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Finding the Fourth Proportional to 2,351.88, 3,245.60 and 1,407.71

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Solution

The fourth proportional to 2,351.88, 3,245.60 and 1,407.71 is: 1,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.88 : 3,245.60 = 1,407.71 : x
  2. Step 2: Convert to fraction form
    2,351.88/3,245.60 = 1,407.71/x
  3. Step 3: Cross multiply
    2,351.88x = 3,245.60 × 1,407.71
  4. Step 4: Simplify right side
    2,351.88x = 4,568,863.58
  5. Step 5: Solve for x
    x = 4,568,863.58/2,351.88
  6. Step 6: Final answer
    x = 1,942.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.