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Finding the Fourth Proportional to 1,967.24, 2,950.98 and 506.44

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Solution

The fourth proportional to 1,967.24, 2,950.98 and 506.44 is: 759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.24 : 2,950.98 = 506.44 : x
  2. Step 2: Convert to fraction form
    1,967.24/2,950.98 = 506.44/x
  3. Step 3: Cross multiply
    1,967.24x = 2,950.98 × 506.44
  4. Step 4: Simplify right side
    1,967.24x = 1,494,494.31
  5. Step 5: Solve for x
    x = 1,494,494.31/1,967.24
  6. Step 6: Final answer
    x = 759.69

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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.