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Finding the Fourth Proportional to 2,239.72, 3,361.70 and 1,647.20

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Solution

The fourth proportional to 2,239.72, 3,361.70 and 1,647.20 is: 2,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.72 : 3,361.70 = 1,647.20 : x
  2. Step 2: Convert to fraction form
    2,239.72/3,361.70 = 1,647.20/x
  3. Step 3: Cross multiply
    2,239.72x = 3,361.70 × 1,647.20
  4. Step 4: Simplify right side
    2,239.72x = 5,537,392.24
  5. Step 5: Solve for x
    x = 5,537,392.24/2,239.72
  6. Step 6: Final answer
    x = 2,472.36

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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.