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Finding the Fourth Proportional to 2,651.16, 3,972.34 and 1,623

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Solution

The fourth proportional to 2,651.16, 3,972.34 and 1,623 is: 2,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.16 : 3,972.34 = 1,623 : x
  2. Step 2: Convert to fraction form
    2,651.16/3,972.34 = 1,623/x
  3. Step 3: Cross multiply
    2,651.16x = 3,972.34 × 1,623
  4. Step 4: Simplify right side
    2,651.16x = 6,447,107.82
  5. Step 5: Solve for x
    x = 6,447,107.82/2,651.16
  6. Step 6: Final answer
    x = 2,431.81

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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.