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Finding the Fourth Proportional to 2,004.91, 3,007.37 and 706.36

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Solution

The fourth proportional to 2,004.91, 3,007.37 and 706.36 is: 1,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.91 : 3,007.37 = 706.36 : x
  2. Step 2: Convert to fraction form
    2,004.91/3,007.37 = 706.36/x
  3. Step 3: Cross multiply
    2,004.91x = 3,007.37 × 706.36
  4. Step 4: Simplify right side
    2,004.91x = 2,124,285.87
  5. Step 5: Solve for x
    x = 2,124,285.87/2,004.91
  6. Step 6: Final answer
    x = 1,059.54

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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.