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Finding the Fourth Proportional to 1,634.76, 2,447.28 and 1,115.28

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Solution

The fourth proportional to 1,634.76, 2,447.28 and 1,115.28 is: 1,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.76 : 2,447.28 = 1,115.28 : x
  2. Step 2: Convert to fraction form
    1,634.76/2,447.28 = 1,115.28/x
  3. Step 3: Cross multiply
    1,634.76x = 2,447.28 × 1,115.28
  4. Step 4: Simplify right side
    1,634.76x = 2,729,402.44
  5. Step 5: Solve for x
    x = 2,729,402.44/1,634.76
  6. Step 6: Final answer
    x = 1,669.60

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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.