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Finding the Fourth Proportional to 2,237.76, 3,353.46 and 1,648.14

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Solution

The fourth proportional to 2,237.76, 3,353.46 and 1,648.14 is: 2,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.76 : 3,353.46 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    2,237.76/3,353.46 = 1,648.14/x
  3. Step 3: Cross multiply
    2,237.76x = 3,353.46 × 1,648.14
  4. Step 4: Simplify right side
    2,237.76x = 5,526,971.56
  5. Step 5: Solve for x
    x = 5,526,971.56/2,237.76
  6. Step 6: Final answer
    x = 2,469.87

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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.