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Finding the Fourth Proportional to 2,623.44, 3,935.60 and 891.64

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Solution

The fourth proportional to 2,623.44, 3,935.60 and 891.64 is: 1,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.44 : 3,935.60 = 891.64 : x
  2. Step 2: Convert to fraction form
    2,623.44/3,935.60 = 891.64/x
  3. Step 3: Cross multiply
    2,623.44x = 3,935.60 × 891.64
  4. Step 4: Simplify right side
    2,623.44x = 3,509,138.38
  5. Step 5: Solve for x
    x = 3,509,138.38/2,623.44
  6. Step 6: Final answer
    x = 1,337.61

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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.