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Finding the Fourth Proportional to 3,006.83, 4,149.36 and 1,680.66

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Solution

The fourth proportional to 3,006.83, 4,149.36 and 1,680.66 is: 2,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.83 : 4,149.36 = 1,680.66 : x
  2. Step 2: Convert to fraction form
    3,006.83/4,149.36 = 1,680.66/x
  3. Step 3: Cross multiply
    3,006.83x = 4,149.36 × 1,680.66
  4. Step 4: Simplify right side
    3,006.83x = 6,973,663.38
  5. Step 5: Solve for x
    x = 6,973,663.38/3,006.83
  6. Step 6: Final answer
    x = 2,319.27

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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.