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Finding the Fourth Proportional to 2,007.39, 3,010.68 and 911.49

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Solution

The fourth proportional to 2,007.39, 3,010.68 and 911.49 is: 1,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.39 : 3,010.68 = 911.49 : x
  2. Step 2: Convert to fraction form
    2,007.39/3,010.68 = 911.49/x
  3. Step 3: Cross multiply
    2,007.39x = 3,010.68 × 911.49
  4. Step 4: Simplify right side
    2,007.39x = 2,744,204.71
  5. Step 5: Solve for x
    x = 2,744,204.71/2,007.39
  6. Step 6: Final answer
    x = 1,367.05

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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.