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Finding the Fourth Proportional to 2,433.21, 3,651.03 and 975.21

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Solution

The fourth proportional to 2,433.21, 3,651.03 and 975.21 is: 1,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.21 : 3,651.03 = 975.21 : x
  2. Step 2: Convert to fraction form
    2,433.21/3,651.03 = 975.21/x
  3. Step 3: Cross multiply
    2,433.21x = 3,651.03 × 975.21
  4. Step 4: Simplify right side
    2,433.21x = 3,560,520.97
  5. Step 5: Solve for x
    x = 3,560,520.97/2,433.21
  6. Step 6: Final answer
    x = 1,463.30

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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.