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Finding the Fourth Proportional to 2,595, 3,578.94 and 1,546.32

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Solution

The fourth proportional to 2,595, 3,578.94 and 1,546.32 is: 2,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595 : 3,578.94 = 1,546.32 : x
  2. Step 2: Convert to fraction form
    2,595/3,578.94 = 1,546.32/x
  3. Step 3: Cross multiply
    2,595x = 3,578.94 × 1,546.32
  4. Step 4: Simplify right side
    2,595x = 5,534,186.50
  5. Step 5: Solve for x
    x = 5,534,186.50/2,595
  6. Step 6: Final answer
    x = 2,132.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.