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Finding the Fourth Proportional to 2,564.96, 3,850.16 and 2,083.82

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Solution

The fourth proportional to 2,564.96, 3,850.16 and 2,083.82 is: 3,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,850.16 = 2,083.82 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,850.16 = 2,083.82/x
  3. Step 3: Cross multiply
    2,564.96x = 3,850.16 × 2,083.82
  4. Step 4: Simplify right side
    2,564.96x = 8,023,010.74
  5. Step 5: Solve for x
    x = 8,023,010.74/2,564.96
  6. Step 6: Final answer
    x = 3,127.93

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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.