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Finding the Fourth Proportional to 1,892.67, 2,839.61 and 722.62

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Solution

The fourth proportional to 1,892.67, 2,839.61 and 722.62 is: 1,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.67 : 2,839.61 = 722.62 : x
  2. Step 2: Convert to fraction form
    1,892.67/2,839.61 = 722.62/x
  3. Step 3: Cross multiply
    1,892.67x = 2,839.61 × 722.62
  4. Step 4: Simplify right side
    1,892.67x = 2,051,960.27
  5. Step 5: Solve for x
    x = 2,051,960.27/1,892.67
  6. Step 6: Final answer
    x = 1,084.16

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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.