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Finding the Fourth Proportional to 3,073.54, 4,609.82 and 1,125.28

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Solution

The fourth proportional to 3,073.54, 4,609.82 and 1,125.28 is: 1,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.54 : 4,609.82 = 1,125.28 : x
  2. Step 2: Convert to fraction form
    3,073.54/4,609.82 = 1,125.28/x
  3. Step 3: Cross multiply
    3,073.54x = 4,609.82 × 1,125.28
  4. Step 4: Simplify right side
    3,073.54x = 5,187,338.25
  5. Step 5: Solve for x
    x = 5,187,338.25/3,073.54
  6. Step 6: Final answer
    x = 1,687.74

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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.