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Finding the Fourth Proportional to 2,083.93, 3,125.86 and 544.93

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Solution

The fourth proportional to 2,083.93, 3,125.86 and 544.93 is: 817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.93 : 3,125.86 = 544.93 : x
  2. Step 2: Convert to fraction form
    2,083.93/3,125.86 = 544.93/x
  3. Step 3: Cross multiply
    2,083.93x = 3,125.86 × 544.93
  4. Step 4: Simplify right side
    2,083.93x = 1,703,374.89
  5. Step 5: Solve for x
    x = 1,703,374.89/2,083.93
  6. Step 6: Final answer
    x = 817.39

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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.