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Finding the Fourth Proportional to 2,791.56, 4,185.78 and 916.56

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Solution

The fourth proportional to 2,791.56, 4,185.78 and 916.56 is: 1,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.56 : 4,185.78 = 916.56 : x
  2. Step 2: Convert to fraction form
    2,791.56/4,185.78 = 916.56/x
  3. Step 3: Cross multiply
    2,791.56x = 4,185.78 × 916.56
  4. Step 4: Simplify right side
    2,791.56x = 3,836,518.52
  5. Step 5: Solve for x
    x = 3,836,518.52/2,791.56
  6. Step 6: Final answer
    x = 1,374.33

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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.