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Finding the Fourth Proportional to 1,581,932.82, 2,372,522.89 and 682,882.64

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Solution

The fourth proportional to 1,581,932.82, 2,372,522.89 and 682,882.64 is: 1,024,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,932.82 : 2,372,522.89 = 682,882.64 : x
  2. Step 2: Convert to fraction form
    1,581,932.82/2,372,522.89 = 682,882.64/x
  3. Step 3: Cross multiply
    1,581,932.82x = 2,372,522.89 × 682,882.64
  4. Step 4: Simplify right side
    1,581,932.82x = 1,620,154,694,583.63
  5. Step 5: Solve for x
    x = 1,620,154,694,583.63/1,581,932.82
  6. Step 6: Final answer
    x = 1,024,161.50

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Why These Related Problems?

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