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Finding the Fourth Proportional to 2,299.84, 3,173.80 and 1,251.91

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Solution

The fourth proportional to 2,299.84, 3,173.80 and 1,251.91 is: 1,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.84 : 3,173.80 = 1,251.91 : x
  2. Step 2: Convert to fraction form
    2,299.84/3,173.80 = 1,251.91/x
  3. Step 3: Cross multiply
    2,299.84x = 3,173.80 × 1,251.91
  4. Step 4: Simplify right side
    2,299.84x = 3,973,305.70
  5. Step 5: Solve for x
    x = 3,973,305.70/2,299.84
  6. Step 6: Final answer
    x = 1,727.64

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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.