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Finding the Fourth Proportional to 3,006.84, 4,149.10 and 1,680.50

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Solution

The fourth proportional to 3,006.84, 4,149.10 and 1,680.50 is: 2,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.84 : 4,149.10 = 1,680.50 : x
  2. Step 2: Convert to fraction form
    3,006.84/4,149.10 = 1,680.50/x
  3. Step 3: Cross multiply
    3,006.84x = 4,149.10 × 1,680.50
  4. Step 4: Simplify right side
    3,006.84x = 6,972,562.55
  5. Step 5: Solve for x
    x = 6,972,562.55/3,006.84
  6. Step 6: Final answer
    x = 2,318.90

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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.