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Finding the Fourth Proportional to 2,083.89, 3,125.82 and 544.89

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Solution

The fourth proportional to 2,083.89, 3,125.82 and 544.89 is: 817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.89 : 3,125.82 = 544.89 : x
  2. Step 2: Convert to fraction form
    2,083.89/3,125.82 = 544.89/x
  3. Step 3: Cross multiply
    2,083.89x = 3,125.82 × 544.89
  4. Step 4: Simplify right side
    2,083.89x = 1,703,228.06
  5. Step 5: Solve for x
    x = 1,703,228.06/2,083.89
  6. Step 6: Final answer
    x = 817.33

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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.