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Finding the Fourth Proportional to 2,891.17, 4,337.21 and 942.92

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Solution

The fourth proportional to 2,891.17, 4,337.21 and 942.92 is: 1,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.17 : 4,337.21 = 942.92 : x
  2. Step 2: Convert to fraction form
    2,891.17/4,337.21 = 942.92/x
  3. Step 3: Cross multiply
    2,891.17x = 4,337.21 × 942.92
  4. Step 4: Simplify right side
    2,891.17x = 4,089,642.05
  5. Step 5: Solve for x
    x = 4,089,642.05/2,891.17
  6. Step 6: Final answer
    x = 1,414.53

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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.