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Finding the Fourth Proportional to 3,144.44, 4,339 and 1,818.57

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Solution

The fourth proportional to 3,144.44, 4,339 and 1,818.57 is: 2,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.44 : 4,339 = 1,818.57 : x
  2. Step 2: Convert to fraction form
    3,144.44/4,339 = 1,818.57/x
  3. Step 3: Cross multiply
    3,144.44x = 4,339 × 1,818.57
  4. Step 4: Simplify right side
    3,144.44x = 7,890,775.23
  5. Step 5: Solve for x
    x = 7,890,775.23/3,144.44
  6. Step 6: Final answer
    x = 2,509.44

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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.