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Finding the Fourth Proportional to 2,278.38, 3,416.67 and 891.48

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Solution

The fourth proportional to 2,278.38, 3,416.67 and 891.48 is: 1,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.38 : 3,416.67 = 891.48 : x
  2. Step 2: Convert to fraction form
    2,278.38/3,416.67 = 891.48/x
  3. Step 3: Cross multiply
    2,278.38x = 3,416.67 × 891.48
  4. Step 4: Simplify right side
    2,278.38x = 3,045,892.97
  5. Step 5: Solve for x
    x = 3,045,892.97/2,278.38
  6. Step 6: Final answer
    x = 1,336.87

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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.