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Finding the Fourth Proportional to 3,322.05, 4,974.17 and 1,857.03

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Solution

The fourth proportional to 3,322.05, 4,974.17 and 1,857.03 is: 2,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.05 : 4,974.17 = 1,857.03 : x
  2. Step 2: Convert to fraction form
    3,322.05/4,974.17 = 1,857.03/x
  3. Step 3: Cross multiply
    3,322.05x = 4,974.17 × 1,857.03
  4. Step 4: Simplify right side
    3,322.05x = 9,237,173.63
  5. Step 5: Solve for x
    x = 9,237,173.63/3,322.05
  6. Step 6: Final answer
    x = 2,780.56

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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.