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Finding the Fourth Proportional to 2,672.64, 3,686.91 and 1,729.26

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Solution

The fourth proportional to 2,672.64, 3,686.91 and 1,729.26 is: 2,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.64 : 3,686.91 = 1,729.26 : x
  2. Step 2: Convert to fraction form
    2,672.64/3,686.91 = 1,729.26/x
  3. Step 3: Cross multiply
    2,672.64x = 3,686.91 × 1,729.26
  4. Step 4: Simplify right side
    2,672.64x = 6,375,625.99
  5. Step 5: Solve for x
    x = 6,375,625.99/2,672.64
  6. Step 6: Final answer
    x = 2,385.52

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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.