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Finding the Fourth Proportional to 2,243.84, 3,361.32 and 1,539.32

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Solution

The fourth proportional to 2,243.84, 3,361.32 and 1,539.32 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.84 : 3,361.32 = 1,539.32 : x
  2. Step 2: Convert to fraction form
    2,243.84/3,361.32 = 1,539.32/x
  3. Step 3: Cross multiply
    2,243.84x = 3,361.32 × 1,539.32
  4. Step 4: Simplify right side
    2,243.84x = 5,174,147.10
  5. Step 5: Solve for x
    x = 5,174,147.10/2,243.84
  6. Step 6: Final answer
    x = 2,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.