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Finding the Fourth Proportional to 2,299.64, 3,173.52 and 1,251.68

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Solution

The fourth proportional to 2,299.64, 3,173.52 and 1,251.68 is: 1,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.64 : 3,173.52 = 1,251.68 : x
  2. Step 2: Convert to fraction form
    2,299.64/3,173.52 = 1,251.68/x
  3. Step 3: Cross multiply
    2,299.64x = 3,173.52 × 1,251.68
  4. Step 4: Simplify right side
    2,299.64x = 3,972,231.51
  5. Step 5: Solve for x
    x = 3,972,231.51/2,299.64
  6. Step 6: Final answer
    x = 1,727.33

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