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Finding the Fourth Proportional to 2,361.69, 3,259.29 and 1,563.63

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Solution

The fourth proportional to 2,361.69, 3,259.29 and 1,563.63 is: 2,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.69 : 3,259.29 = 1,563.63 : x
  2. Step 2: Convert to fraction form
    2,361.69/3,259.29 = 1,563.63/x
  3. Step 3: Cross multiply
    2,361.69x = 3,259.29 × 1,563.63
  4. Step 4: Simplify right side
    2,361.69x = 5,096,323.62
  5. Step 5: Solve for x
    x = 5,096,323.62/2,361.69
  6. Step 6: Final answer
    x = 2,157.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.