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Finding the Fourth Proportional to 2,004.72, 3,007.60 and 706.24

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Solution

The fourth proportional to 2,004.72, 3,007.60 and 706.24 is: 1,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.72 : 3,007.60 = 706.24 : x
  2. Step 2: Convert to fraction form
    2,004.72/3,007.60 = 706.24/x
  3. Step 3: Cross multiply
    2,004.72x = 3,007.60 × 706.24
  4. Step 4: Simplify right side
    2,004.72x = 2,124,087.42
  5. Step 5: Solve for x
    x = 2,124,087.42/2,004.72
  6. Step 6: Final answer
    x = 1,059.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.