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Finding the Fourth Proportional to 2,083.97, 3,125.96 and 544.97

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Solution

The fourth proportional to 2,083.97, 3,125.96 and 544.97 is: 817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.97 : 3,125.96 = 544.97 : x
  2. Step 2: Convert to fraction form
    2,083.97/3,125.96 = 544.97/x
  3. Step 3: Cross multiply
    2,083.97x = 3,125.96 × 544.97
  4. Step 4: Simplify right side
    2,083.97x = 1,703,559.51
  5. Step 5: Solve for x
    x = 1,703,559.51/2,083.97
  6. Step 6: Final answer
    x = 817.46

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Why These Related Problems?

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