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Finding the Fourth Proportional to 2,573.82, 3,860.73 and 1,426.86

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Solution

The fourth proportional to 2,573.82, 3,860.73 and 1,426.86 is: 2,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.82 : 3,860.73 = 1,426.86 : x
  2. Step 2: Convert to fraction form
    2,573.82/3,860.73 = 1,426.86/x
  3. Step 3: Cross multiply
    2,573.82x = 3,860.73 × 1,426.86
  4. Step 4: Simplify right side
    2,573.82x = 5,508,721.21
  5. Step 5: Solve for x
    x = 5,508,721.21/2,573.82
  6. Step 6: Final answer
    x = 2,140.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.