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Finding the Fourth Proportional to 2,239.09, 3,360.09 and 852.44

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Solution

The fourth proportional to 2,239.09, 3,360.09 and 852.44 is: 1,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.09 : 3,360.09 = 852.44 : x
  2. Step 2: Convert to fraction form
    2,239.09/3,360.09 = 852.44/x
  3. Step 3: Cross multiply
    2,239.09x = 3,360.09 × 852.44
  4. Step 4: Simplify right side
    2,239.09x = 2,864,254.06
  5. Step 5: Solve for x
    x = 2,864,254.06/2,239.09
  6. Step 6: Final answer
    x = 1,279.21

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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.