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Finding the Fourth Proportional to 3,172.68, 4,759.02 and 1,324.67

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Solution

The fourth proportional to 3,172.68, 4,759.02 and 1,324.67 is: 1,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.68 : 4,759.02 = 1,324.67 : x
  2. Step 2: Convert to fraction form
    3,172.68/4,759.02 = 1,324.67/x
  3. Step 3: Cross multiply
    3,172.68x = 4,759.02 × 1,324.67
  4. Step 4: Simplify right side
    3,172.68x = 6,304,107.23
  5. Step 5: Solve for x
    x = 6,304,107.23/3,172.68
  6. Step 6: Final answer
    x = 1,987.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.