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Finding the Fourth Proportional to 3,029.43, 4,544.24 and 838.16

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Solution

The fourth proportional to 3,029.43, 4,544.24 and 838.16 is: 1,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.43 : 4,544.24 = 838.16 : x
  2. Step 2: Convert to fraction form
    3,029.43/4,544.24 = 838.16/x
  3. Step 3: Cross multiply
    3,029.43x = 4,544.24 × 838.16
  4. Step 4: Simplify right side
    3,029.43x = 3,808,773.29
  5. Step 5: Solve for x
    x = 3,808,773.29/3,029.43
  6. Step 6: Final answer
    x = 1,257.26

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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.