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Finding the Fourth Proportional to 2,572.83, 3,860.43 and 1,255.86

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Solution

The fourth proportional to 2,572.83, 3,860.43 and 1,255.86 is: 1,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.83 : 3,860.43 = 1,255.86 : x
  2. Step 2: Convert to fraction form
    2,572.83/3,860.43 = 1,255.86/x
  3. Step 3: Cross multiply
    2,572.83x = 3,860.43 × 1,255.86
  4. Step 4: Simplify right side
    2,572.83x = 4,848,159.62
  5. Step 5: Solve for x
    x = 4,848,159.62/2,572.83
  6. Step 6: Final answer
    x = 1,884.37

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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.