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Finding the Fourth Proportional to 2,950.48, 4,425.72 and 759.21

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Solution

The fourth proportional to 2,950.48, 4,425.72 and 759.21 is: 1,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.48 : 4,425.72 = 759.21 : x
  2. Step 2: Convert to fraction form
    2,950.48/4,425.72 = 759.21/x
  3. Step 3: Cross multiply
    2,950.48x = 4,425.72 × 759.21
  4. Step 4: Simplify right side
    2,950.48x = 3,360,050.88
  5. Step 5: Solve for x
    x = 3,360,050.88/2,950.48
  6. Step 6: Final answer
    x = 1,138.82

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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.