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Finding the Fourth Proportional to 2,453.33, 3,679.44 and 698.29

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Solution

The fourth proportional to 2,453.33, 3,679.44 and 698.29 is: 1,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.33 : 3,679.44 = 698.29 : x
  2. Step 2: Convert to fraction form
    2,453.33/3,679.44 = 698.29/x
  3. Step 3: Cross multiply
    2,453.33x = 3,679.44 × 698.29
  4. Step 4: Simplify right side
    2,453.33x = 2,569,313.08
  5. Step 5: Solve for x
    x = 2,569,313.08/2,453.33
  6. Step 6: Final answer
    x = 1,047.28

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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.