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Finding the Fourth Proportional to 3,029.66, 4,544.59 and 838.41

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Solution

The fourth proportional to 3,029.66, 4,544.59 and 838.41 is: 1,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.66 : 4,544.59 = 838.41 : x
  2. Step 2: Convert to fraction form
    3,029.66/4,544.59 = 838.41/x
  3. Step 3: Cross multiply
    3,029.66x = 4,544.59 × 838.41
  4. Step 4: Simplify right side
    3,029.66x = 3,810,229.70
  5. Step 5: Solve for x
    x = 3,810,229.70/3,029.66
  6. Step 6: Final answer
    x = 1,257.64

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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.