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Finding the Fourth Proportional to 4,242.21, 6,361.32 and 1,610.22

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Solution

The fourth proportional to 4,242.21, 6,361.32 and 1,610.22 is: 2,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.21 : 6,361.32 = 1,610.22 : x
  2. Step 2: Convert to fraction form
    4,242.21/6,361.32 = 1,610.22/x
  3. Step 3: Cross multiply
    4,242.21x = 6,361.32 × 1,610.22
  4. Step 4: Simplify right side
    4,242.21x = 10,243,124.69
  5. Step 5: Solve for x
    x = 10,243,124.69/4,242.21
  6. Step 6: Final answer
    x = 2,414.57

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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.