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Finding the Fourth Proportional to 4,783.05, 7,174.98 and 1,496.61

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Solution

The fourth proportional to 4,783.05, 7,174.98 and 1,496.61 is: 2,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.05 : 7,174.98 = 1,496.61 : x
  2. Step 2: Convert to fraction form
    4,783.05/7,174.98 = 1,496.61/x
  3. Step 3: Cross multiply
    4,783.05x = 7,174.98 × 1,496.61
  4. Step 4: Simplify right side
    4,783.05x = 10,738,146.82
  5. Step 5: Solve for x
    x = 10,738,146.82/4,783.05
  6. Step 6: Final answer
    x = 2,245.04

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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.