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Finding the Fourth Proportional to 3,163.56, 4,744.92 and 972.10

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Solution

The fourth proportional to 3,163.56, 4,744.92 and 972.10 is: 1,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.56 : 4,744.92 = 972.10 : x
  2. Step 2: Convert to fraction form
    3,163.56/4,744.92 = 972.10/x
  3. Step 3: Cross multiply
    3,163.56x = 4,744.92 × 972.10
  4. Step 4: Simplify right side
    3,163.56x = 4,612,531.87
  5. Step 5: Solve for x
    x = 4,612,531.87/3,163.56
  6. Step 6: Final answer
    x = 1,458.02

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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.