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Finding the Fourth Proportional to 2,147.03, 3,221.76 and 914.31

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Solution

The fourth proportional to 2,147.03, 3,221.76 and 914.31 is: 1,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.03 : 3,221.76 = 914.31 : x
  2. Step 2: Convert to fraction form
    2,147.03/3,221.76 = 914.31/x
  3. Step 3: Cross multiply
    2,147.03x = 3,221.76 × 914.31
  4. Step 4: Simplify right side
    2,147.03x = 2,945,685.67
  5. Step 5: Solve for x
    x = 2,945,685.67/2,147.03
  6. Step 6: Final answer
    x = 1,371.98

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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.