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Finding the Fourth Proportional to 1,634.72, 2,255.86 and 926.56

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Solution

The fourth proportional to 1,634.72, 2,255.86 and 926.56 is: 1,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.72 : 2,255.86 = 926.56 : x
  2. Step 2: Convert to fraction form
    1,634.72/2,255.86 = 926.56/x
  3. Step 3: Cross multiply
    1,634.72x = 2,255.86 × 926.56
  4. Step 4: Simplify right side
    1,634.72x = 2,090,189.64
  5. Step 5: Solve for x
    x = 2,090,189.64/1,634.72
  6. Step 6: Final answer
    x = 1,278.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.