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Finding the Fourth Proportional to 3,199.72, 4,800.54 and 1,252.84

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Solution

The fourth proportional to 3,199.72, 4,800.54 and 1,252.84 is: 1,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.72 : 4,800.54 = 1,252.84 : x
  2. Step 2: Convert to fraction form
    3,199.72/4,800.54 = 1,252.84/x
  3. Step 3: Cross multiply
    3,199.72x = 4,800.54 × 1,252.84
  4. Step 4: Simplify right side
    3,199.72x = 6,014,308.53
  5. Step 5: Solve for x
    x = 6,014,308.53/3,199.72
  6. Step 6: Final answer
    x = 1,879.64

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Why These Related Problems?

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