Home / 2,004.46-3,007.14-705.92

Finding the Fourth Proportional to 2,004.46, 3,007.14 and 705.92

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Solution

The fourth proportional to 2,004.46, 3,007.14 and 705.92 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.46 : 3,007.14 = 705.92 : x
  2. Step 2: Convert to fraction form
    2,004.46/3,007.14 = 705.92/x
  3. Step 3: Cross multiply
    2,004.46x = 3,007.14 × 705.92
  4. Step 4: Simplify right side
    2,004.46x = 2,122,800.27
  5. Step 5: Solve for x
    x = 2,122,800.27/2,004.46
  6. Step 6: Final answer
    x = 1,059.04

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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.