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Finding the Fourth Proportional to 4,950.23, 7,423.50 and 1,662.54

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Solution

The fourth proportional to 4,950.23, 7,423.50 and 1,662.54 is: 2,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.23 : 7,423.50 = 1,662.54 : x
  2. Step 2: Convert to fraction form
    4,950.23/7,423.50 = 1,662.54/x
  3. Step 3: Cross multiply
    4,950.23x = 7,423.50 × 1,662.54
  4. Step 4: Simplify right side
    4,950.23x = 12,341,865.69
  5. Step 5: Solve for x
    x = 12,341,865.69/4,950.23
  6. Step 6: Final answer
    x = 2,493.19

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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.