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Finding the Fourth Proportional to 2,322.46, 3,484.26 and 679.03

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Solution

The fourth proportional to 2,322.46, 3,484.26 and 679.03 is: 1,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.46 : 3,484.26 = 679.03 : x
  2. Step 2: Convert to fraction form
    2,322.46/3,484.26 = 679.03/x
  3. Step 3: Cross multiply
    2,322.46x = 3,484.26 × 679.03
  4. Step 4: Simplify right side
    2,322.46x = 2,365,917.07
  5. Step 5: Solve for x
    x = 2,365,917.07/2,322.46
  6. Step 6: Final answer
    x = 1,018.71

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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.