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Finding the Fourth Proportional to 2,381.86, 3,286.26 and 1,542.58

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Solution

The fourth proportional to 2,381.86, 3,286.26 and 1,542.58 is: 2,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.86 : 3,286.26 = 1,542.58 : x
  2. Step 2: Convert to fraction form
    2,381.86/3,286.26 = 1,542.58/x
  3. Step 3: Cross multiply
    2,381.86x = 3,286.26 × 1,542.58
  4. Step 4: Simplify right side
    2,381.86x = 5,069,318.95
  5. Step 5: Solve for x
    x = 5,069,318.95/2,381.86
  6. Step 6: Final answer
    x = 2,128.30

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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.