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Finding the Fourth Proportional to 3,199.72, 4,796.73 and 1,253.28

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Solution

The fourth proportional to 3,199.72, 4,796.73 and 1,253.28 is: 1,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.72 : 4,796.73 = 1,253.28 : x
  2. Step 2: Convert to fraction form
    3,199.72/4,796.73 = 1,253.28/x
  3. Step 3: Cross multiply
    3,199.72x = 4,796.73 × 1,253.28
  4. Step 4: Simplify right side
    3,199.72x = 6,011,645.77
  5. Step 5: Solve for x
    x = 6,011,645.77/3,199.72
  6. Step 6: Final answer
    x = 1,878.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.