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Finding the Fourth Proportional to 3,006.39, 4,148.84 and 1,680.15

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Solution

The fourth proportional to 3,006.39, 4,148.84 and 1,680.15 is: 2,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.39 : 4,148.84 = 1,680.15 : x
  2. Step 2: Convert to fraction form
    3,006.39/4,148.84 = 1,680.15/x
  3. Step 3: Cross multiply
    3,006.39x = 4,148.84 × 1,680.15
  4. Step 4: Simplify right side
    3,006.39x = 6,970,688.10
  5. Step 5: Solve for x
    x = 6,970,688.10/3,006.39
  6. Step 6: Final answer
    x = 2,318.62

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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.