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Finding the Fourth Proportional to 1,623.17, 2,431.56 and 843.68

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Solution

The fourth proportional to 1,623.17, 2,431.56 and 843.68 is: 1,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.17 : 2,431.56 = 843.68 : x
  2. Step 2: Convert to fraction form
    1,623.17/2,431.56 = 843.68/x
  3. Step 3: Cross multiply
    1,623.17x = 2,431.56 × 843.68
  4. Step 4: Simplify right side
    1,623.17x = 2,051,467.78
  5. Step 5: Solve for x
    x = 2,051,467.78/1,623.17
  6. Step 6: Final answer
    x = 1,263.86

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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.