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Finding the Fourth Proportional to 2,083.25, 3,125.06 and 544.25

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Solution

The fourth proportional to 2,083.25, 3,125.06 and 544.25 is: 816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.25 : 3,125.06 = 544.25 : x
  2. Step 2: Convert to fraction form
    2,083.25/3,125.06 = 544.25/x
  3. Step 3: Cross multiply
    2,083.25x = 3,125.06 × 544.25
  4. Step 4: Simplify right side
    2,083.25x = 1,700,813.91
  5. Step 5: Solve for x
    x = 1,700,813.91/2,083.25
  6. Step 6: Final answer
    x = 816.42

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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.