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Finding the Fourth Proportional to 2,012.49, 3,014.37 and 1,661.90

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Solution

The fourth proportional to 2,012.49, 3,014.37 and 1,661.90 is: 2,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.49 : 3,014.37 = 1,661.90 : x
  2. Step 2: Convert to fraction form
    2,012.49/3,014.37 = 1,661.90/x
  3. Step 3: Cross multiply
    2,012.49x = 3,014.37 × 1,661.90
  4. Step 4: Simplify right side
    2,012.49x = 5,009,566.43
  5. Step 5: Solve for x
    x = 5,009,566.43/2,012.49
  6. Step 6: Final answer
    x = 2,489.24

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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.