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Finding the Fourth Proportional to 2,007.76, 3,011.46 and 709.24

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Solution

The fourth proportional to 2,007.76, 3,011.46 and 709.24 is: 1,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.76 : 3,011.46 = 709.24 : x
  2. Step 2: Convert to fraction form
    2,007.76/3,011.46 = 709.24/x
  3. Step 3: Cross multiply
    2,007.76x = 3,011.46 × 709.24
  4. Step 4: Simplify right side
    2,007.76x = 2,135,847.89
  5. Step 5: Solve for x
    x = 2,135,847.89/2,007.76
  6. Step 6: Final answer
    x = 1,063.80

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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.