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Finding the Fourth Proportional to 2,625.47, 3,623.90 and 1,729.86

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Solution

The fourth proportional to 2,625.47, 3,623.90 and 1,729.86 is: 2,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.47 : 3,623.90 = 1,729.86 : x
  2. Step 2: Convert to fraction form
    2,625.47/3,623.90 = 1,729.86/x
  3. Step 3: Cross multiply
    2,625.47x = 3,623.90 × 1,729.86
  4. Step 4: Simplify right side
    2,625.47x = 6,268,857.57
  5. Step 5: Solve for x
    x = 6,268,857.57/2,625.47
  6. Step 6: Final answer
    x = 2,387.71

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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.