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Finding the Fourth Proportional to 1,755.37, 2,415.27 and 1,609.57

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Solution

The fourth proportional to 1,755.37, 2,415.27 and 1,609.57 is: 2,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.37 : 2,415.27 = 1,609.57 : x
  2. Step 2: Convert to fraction form
    1,755.37/2,415.27 = 1,609.57/x
  3. Step 3: Cross multiply
    1,755.37x = 2,415.27 × 1,609.57
  4. Step 4: Simplify right side
    1,755.37x = 3,887,546.14
  5. Step 5: Solve for x
    x = 3,887,546.14/1,755.37
  6. Step 6: Final answer
    x = 2,214.66

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