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Finding the Fourth Proportional to 4,178.34, 6,267.42 and 1,100.34

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Solution

The fourth proportional to 4,178.34, 6,267.42 and 1,100.34 is: 1,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.34 : 6,267.42 = 1,100.34 : x
  2. Step 2: Convert to fraction form
    4,178.34/6,267.42 = 1,100.34/x
  3. Step 3: Cross multiply
    4,178.34x = 6,267.42 × 1,100.34
  4. Step 4: Simplify right side
    4,178.34x = 6,896,292.92
  5. Step 5: Solve for x
    x = 6,896,292.92/4,178.34
  6. Step 6: Final answer
    x = 1,650.49

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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.