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Finding the Fourth Proportional to 4,101.85, 6,152.11 and 1,179.49

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Solution

The fourth proportional to 4,101.85, 6,152.11 and 1,179.49 is: 1,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.85 : 6,152.11 = 1,179.49 : x
  2. Step 2: Convert to fraction form
    4,101.85/6,152.11 = 1,179.49/x
  3. Step 3: Cross multiply
    4,101.85x = 6,152.11 × 1,179.49
  4. Step 4: Simplify right side
    4,101.85x = 7,256,352.22
  5. Step 5: Solve for x
    x = 7,256,352.22/4,101.85
  6. Step 6: Final answer
    x = 1,769.04

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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.