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Finding the Fourth Proportional to 2,009.21, 3,016.14 and 913.58

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Solution

The fourth proportional to 2,009.21, 3,016.14 and 913.58 is: 1,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.21 : 3,016.14 = 913.58 : x
  2. Step 2: Convert to fraction form
    2,009.21/3,016.14 = 913.58/x
  3. Step 3: Cross multiply
    2,009.21x = 3,016.14 × 913.58
  4. Step 4: Simplify right side
    2,009.21x = 2,755,477.99
  5. Step 5: Solve for x
    x = 2,755,477.99/2,009.21
  6. Step 6: Final answer
    x = 1,371.43

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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.