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Finding the Fourth Proportional to 2,267.04, 3,400.56 and 685.56

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Solution

The fourth proportional to 2,267.04, 3,400.56 and 685.56 is: 1,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.04 : 3,400.56 = 685.56 : x
  2. Step 2: Convert to fraction form
    2,267.04/3,400.56 = 685.56/x
  3. Step 3: Cross multiply
    2,267.04x = 3,400.56 × 685.56
  4. Step 4: Simplify right side
    2,267.04x = 2,331,287.91
  5. Step 5: Solve for x
    x = 2,331,287.91/2,267.04
  6. Step 6: Final answer
    x = 1,028.34

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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.