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Finding the Fourth Proportional to 2,396.93, 3,308.23 and 1,349.00

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Solution

The fourth proportional to 2,396.93, 3,308.23 and 1,349.00 is: 1,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.93 : 3,308.23 = 1,349.00 : x
  2. Step 2: Convert to fraction form
    2,396.93/3,308.23 = 1,349.00/x
  3. Step 3: Cross multiply
    2,396.93x = 3,308.23 × 1,349.00
  4. Step 4: Simplify right side
    2,396.93x = 4,462,785.73
  5. Step 5: Solve for x
    x = 4,462,785.73/2,396.93
  6. Step 6: Final answer
    x = 1,861.88

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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.