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Finding the Fourth Proportional to 2,595, 3,580.56 and 1,755.84

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Solution

The fourth proportional to 2,595, 3,580.56 and 1,755.84 is: 2,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595 : 3,580.56 = 1,755.84 : x
  2. Step 2: Convert to fraction form
    2,595/3,580.56 = 1,755.84/x
  3. Step 3: Cross multiply
    2,595x = 3,580.56 × 1,755.84
  4. Step 4: Simplify right side
    2,595x = 6,286,890.47
  5. Step 5: Solve for x
    x = 6,286,890.47/2,595
  6. Step 6: Final answer
    x = 2,422.69

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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.