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Finding the Fourth Proportional to 2,004.12, 3,007.14 and 706.20

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Solution

The fourth proportional to 2,004.12, 3,007.14 and 706.20 is: 1,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.12 : 3,007.14 = 706.20 : x
  2. Step 2: Convert to fraction form
    2,004.12/3,007.14 = 706.20/x
  3. Step 3: Cross multiply
    2,004.12x = 3,007.14 × 706.20
  4. Step 4: Simplify right side
    2,004.12x = 2,123,642.27
  5. Step 5: Solve for x
    x = 2,123,642.27/2,004.12
  6. Step 6: Final answer
    x = 1,059.64

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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.