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Finding the Fourth Proportional to 2,934, 4,049.16 and 1,675.44

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Solution

The fourth proportional to 2,934, 4,049.16 and 1,675.44 is: 2,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934 : 4,049.16 = 1,675.44 : x
  2. Step 2: Convert to fraction form
    2,934/4,049.16 = 1,675.44/x
  3. Step 3: Cross multiply
    2,934x = 4,049.16 × 1,675.44
  4. Step 4: Simplify right side
    2,934x = 6,784,124.63
  5. Step 5: Solve for x
    x = 6,784,124.63/2,934
  6. Step 6: Final answer
    x = 2,312.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.