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Finding the Fourth Proportional to 2,084.88, 3,125.79 and 1,262.96

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Solution

The fourth proportional to 2,084.88, 3,125.79 and 1,262.96 is: 1,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.88 : 3,125.79 = 1,262.96 : x
  2. Step 2: Convert to fraction form
    2,084.88/3,125.79 = 1,262.96/x
  3. Step 3: Cross multiply
    2,084.88x = 3,125.79 × 1,262.96
  4. Step 4: Simplify right side
    2,084.88x = 3,947,732.11
  5. Step 5: Solve for x
    x = 3,947,732.11/2,084.88
  6. Step 6: Final answer
    x = 1,893.51

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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.