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Finding the Fourth Proportional to 3,072.76, 4,610.96 and 1,125.16

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Solution

The fourth proportional to 3,072.76, 4,610.96 and 1,125.16 is: 1,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.76 : 4,610.96 = 1,125.16 : x
  2. Step 2: Convert to fraction form
    3,072.76/4,610.96 = 1,125.16/x
  3. Step 3: Cross multiply
    3,072.76x = 4,610.96 × 1,125.16
  4. Step 4: Simplify right side
    3,072.76x = 5,188,067.75
  5. Step 5: Solve for x
    x = 5,188,067.75/3,072.76
  6. Step 6: Final answer
    x = 1,688.41

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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.