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Finding the Fourth Proportional to 1,893.29, 2,839.49 and 722.86

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Solution

The fourth proportional to 1,893.29, 2,839.49 and 722.86 is: 1,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.29 : 2,839.49 = 722.86 : x
  2. Step 2: Convert to fraction form
    1,893.29/2,839.49 = 722.86/x
  3. Step 3: Cross multiply
    1,893.29x = 2,839.49 × 722.86
  4. Step 4: Simplify right side
    1,893.29x = 2,052,553.74
  5. Step 5: Solve for x
    x = 2,052,553.74/1,893.29
  6. Step 6: Final answer
    x = 1,084.12

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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.