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Finding the Fourth Proportional to 2,385.86, 3,293.19 and 1,546.56

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Solution

The fourth proportional to 2,385.86, 3,293.19 and 1,546.56 is: 2,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.86 : 3,293.19 = 1,546.56 : x
  2. Step 2: Convert to fraction form
    2,385.86/3,293.19 = 1,546.56/x
  3. Step 3: Cross multiply
    2,385.86x = 3,293.19 × 1,546.56
  4. Step 4: Simplify right side
    2,385.86x = 5,093,115.93
  5. Step 5: Solve for x
    x = 5,093,115.93/2,385.86
  6. Step 6: Final answer
    x = 2,134.71

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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.