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Finding the Fourth Proportional to 2,007.40, 3,007.34 and 1,680.43

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Solution

The fourth proportional to 2,007.40, 3,007.34 and 1,680.43 is: 2,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.40 : 3,007.34 = 1,680.43 : x
  2. Step 2: Convert to fraction form
    2,007.40/3,007.34 = 1,680.43/x
  3. Step 3: Cross multiply
    2,007.40x = 3,007.34 × 1,680.43
  4. Step 4: Simplify right side
    2,007.40x = 5,053,624.36
  5. Step 5: Solve for x
    x = 5,053,624.36/2,007.40
  6. Step 6: Final answer
    x = 2,517.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.