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Finding the Fourth Proportional to 4,240.53, 6,361.37 and 1,466.46

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Solution

The fourth proportional to 4,240.53, 6,361.37 and 1,466.46 is: 2,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.53 : 6,361.37 = 1,466.46 : x
  2. Step 2: Convert to fraction form
    4,240.53/6,361.37 = 1,466.46/x
  3. Step 3: Cross multiply
    4,240.53x = 6,361.37 × 1,466.46
  4. Step 4: Simplify right side
    4,240.53x = 9,328,662.84
  5. Step 5: Solve for x
    x = 9,328,662.84/4,240.53
  6. Step 6: Final answer
    x = 2,199.88

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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.