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Finding the Fourth Proportional to 2,239.09, 3,358.44 and 852.43

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Solution

The fourth proportional to 2,239.09, 3,358.44 and 852.43 is: 1,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.09 : 3,358.44 = 852.43 : x
  2. Step 2: Convert to fraction form
    2,239.09/3,358.44 = 852.43/x
  3. Step 3: Cross multiply
    2,239.09x = 3,358.44 × 852.43
  4. Step 4: Simplify right side
    2,239.09x = 2,862,835.01
  5. Step 5: Solve for x
    x = 2,862,835.01/2,239.09
  6. Step 6: Final answer
    x = 1,278.57

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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.