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Finding the Fourth Proportional to 2,950.75, 4,072.01 and 1,624.42

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Solution

The fourth proportional to 2,950.75, 4,072.01 and 1,624.42 is: 2,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.75 : 4,072.01 = 1,624.42 : x
  2. Step 2: Convert to fraction form
    2,950.75/4,072.01 = 1,624.42/x
  3. Step 3: Cross multiply
    2,950.75x = 4,072.01 × 1,624.42
  4. Step 4: Simplify right side
    2,950.75x = 6,614,634.12
  5. Step 5: Solve for x
    x = 6,614,634.12/2,950.75
  6. Step 6: Final answer
    x = 2,241.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.