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Finding the Fourth Proportional to 2,296.12, 3,165.30 and 1,697.73

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Solution

The fourth proportional to 2,296.12, 3,165.30 and 1,697.73 is: 2,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.12 : 3,165.30 = 1,697.73 : x
  2. Step 2: Convert to fraction form
    2,296.12/3,165.30 = 1,697.73/x
  3. Step 3: Cross multiply
    2,296.12x = 3,165.30 × 1,697.73
  4. Step 4: Simplify right side
    2,296.12x = 5,373,824.77
  5. Step 5: Solve for x
    x = 5,373,824.77/2,296.12
  6. Step 6: Final answer
    x = 2,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.