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Finding the Fourth Proportional to 2,007.57, 3,010.55 and 911.64

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Solution

The fourth proportional to 2,007.57, 3,010.55 and 911.64 is: 1,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.57 : 3,010.55 = 911.64 : x
  2. Step 2: Convert to fraction form
    2,007.57/3,010.55 = 911.64/x
  3. Step 3: Cross multiply
    2,007.57x = 3,010.55 × 911.64
  4. Step 4: Simplify right side
    2,007.57x = 2,744,533.24
  5. Step 5: Solve for x
    x = 2,744,533.24/2,007.57
  6. Step 6: Final answer
    x = 1,367.09

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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.