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Finding the Fourth Proportional to 2,238.02, 3,357.53 and 851.40

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Solution

The fourth proportional to 2,238.02, 3,357.53 and 851.40 is: 1,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.02 : 3,357.53 = 851.40 : x
  2. Step 2: Convert to fraction form
    2,238.02/3,357.53 = 851.40/x
  3. Step 3: Cross multiply
    2,238.02x = 3,357.53 × 851.40
  4. Step 4: Simplify right side
    2,238.02x = 2,858,601.04
  5. Step 5: Solve for x
    x = 2,858,601.04/2,238.02
  6. Step 6: Final answer
    x = 1,277.29

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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.