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Finding the Fourth Proportional to 2,278.42, 3,415.89 and 891.55

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Solution

The fourth proportional to 2,278.42, 3,415.89 and 891.55 is: 1,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.42 : 3,415.89 = 891.55 : x
  2. Step 2: Convert to fraction form
    2,278.42/3,415.89 = 891.55/x
  3. Step 3: Cross multiply
    2,278.42x = 3,415.89 × 891.55
  4. Step 4: Simplify right side
    2,278.42x = 3,045,436.73
  5. Step 5: Solve for x
    x = 3,045,436.73/2,278.42
  6. Step 6: Final answer
    x = 1,336.64

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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.