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Finding the Fourth Proportional to 3,006.98, 4,149.22 and 1,680.74

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Solution

The fourth proportional to 3,006.98, 4,149.22 and 1,680.74 is: 2,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.98 : 4,149.22 = 1,680.74 : x
  2. Step 2: Convert to fraction form
    3,006.98/4,149.22 = 1,680.74/x
  3. Step 3: Cross multiply
    3,006.98x = 4,149.22 × 1,680.74
  4. Step 4: Simplify right side
    3,006.98x = 6,973,760.02
  5. Step 5: Solve for x
    x = 6,973,760.02/3,006.98
  6. Step 6: Final answer
    x = 2,319.19

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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.