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Finding the Fourth Proportional to 2,686.26, 4,029.29 and 738.41

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Solution

The fourth proportional to 2,686.26, 4,029.29 and 738.41 is: 1,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.26 : 4,029.29 = 738.41 : x
  2. Step 2: Convert to fraction form
    2,686.26/4,029.29 = 738.41/x
  3. Step 3: Cross multiply
    2,686.26x = 4,029.29 × 738.41
  4. Step 4: Simplify right side
    2,686.26x = 2,975,264.34
  5. Step 5: Solve for x
    x = 2,975,264.34/2,686.26
  6. Step 6: Final answer
    x = 1,107.59

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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.