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Finding the Fourth Proportional to 3,006.83, 4,149.59 and 1,680.57

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Solution

The fourth proportional to 3,006.83, 4,149.59 and 1,680.57 is: 2,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.83 : 4,149.59 = 1,680.57 : x
  2. Step 2: Convert to fraction form
    3,006.83/4,149.59 = 1,680.57/x
  3. Step 3: Cross multiply
    3,006.83x = 4,149.59 × 1,680.57
  4. Step 4: Simplify right side
    3,006.83x = 6,973,668.06
  5. Step 5: Solve for x
    x = 6,973,668.06/3,006.83
  6. Step 6: Final answer
    x = 2,319.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.