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Finding the Fourth Proportional to 2,512.71, 3,467.57 and 1,393.66

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Solution

The fourth proportional to 2,512.71, 3,467.57 and 1,393.66 is: 1,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.71 : 3,467.57 = 1,393.66 : x
  2. Step 2: Convert to fraction form
    2,512.71/3,467.57 = 1,393.66/x
  3. Step 3: Cross multiply
    2,512.71x = 3,467.57 × 1,393.66
  4. Step 4: Simplify right side
    2,512.71x = 4,832,613.61
  5. Step 5: Solve for x
    x = 4,832,613.61/2,512.71
  6. Step 6: Final answer
    x = 1,923.27

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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.