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Finding the Fourth Proportional to 2,635.54, 3,953.90 and 880.63

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Solution

The fourth proportional to 2,635.54, 3,953.90 and 880.63 is: 1,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.54 : 3,953.90 = 880.63 : x
  2. Step 2: Convert to fraction form
    2,635.54/3,953.90 = 880.63/x
  3. Step 3: Cross multiply
    2,635.54x = 3,953.90 × 880.63
  4. Step 4: Simplify right side
    2,635.54x = 3,481,922.96
  5. Step 5: Solve for x
    x = 3,481,922.96/2,635.54
  6. Step 6: Final answer
    x = 1,321.14

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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.