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Finding the Fourth Proportional to 2,717.89, 4,077.10 and 844.22

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Solution

The fourth proportional to 2,717.89, 4,077.10 and 844.22 is: 1,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.89 : 4,077.10 = 844.22 : x
  2. Step 2: Convert to fraction form
    2,717.89/4,077.10 = 844.22/x
  3. Step 3: Cross multiply
    2,717.89x = 4,077.10 × 844.22
  4. Step 4: Simplify right side
    2,717.89x = 3,441,980.61
  5. Step 5: Solve for x
    x = 3,441,980.61/2,717.89
  6. Step 6: Final answer
    x = 1,266.42

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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.