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Finding the Fourth Proportional to 4,243.82, 6,364.50 and 1,778.57

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Solution

The fourth proportional to 4,243.82, 6,364.50 and 1,778.57 is: 2,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.82 : 6,364.50 = 1,778.57 : x
  2. Step 2: Convert to fraction form
    4,243.82/6,364.50 = 1,778.57/x
  3. Step 3: Cross multiply
    4,243.82x = 6,364.50 × 1,778.57
  4. Step 4: Simplify right side
    4,243.82x = 11,319,708.77
  5. Step 5: Solve for x
    x = 11,319,708.77/4,243.82
  6. Step 6: Final answer
    x = 2,667.34

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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.