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Finding the Fourth Proportional to 2,709.26, 4,064.92 and 954.44

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Solution

The fourth proportional to 2,709.26, 4,064.92 and 954.44 is: 1,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.26 : 4,064.92 = 954.44 : x
  2. Step 2: Convert to fraction form
    2,709.26/4,064.92 = 954.44/x
  3. Step 3: Cross multiply
    2,709.26x = 4,064.92 × 954.44
  4. Step 4: Simplify right side
    2,709.26x = 3,879,722.24
  5. Step 5: Solve for x
    x = 3,879,722.24/2,709.26
  6. Step 6: Final answer
    x = 1,432.03

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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.