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Finding the Fourth Proportional to 1,729.62, 2,607.21 and 1,629.30

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Solution

The fourth proportional to 1,729.62, 2,607.21 and 1,629.30 is: 2,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.62 : 2,607.21 = 1,629.30 : x
  2. Step 2: Convert to fraction form
    1,729.62/2,607.21 = 1,629.30/x
  3. Step 3: Cross multiply
    1,729.62x = 2,607.21 × 1,629.30
  4. Step 4: Simplify right side
    1,729.62x = 4,247,927.25
  5. Step 5: Solve for x
    x = 4,247,927.25/1,729.62
  6. Step 6: Final answer
    x = 2,455.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.