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Finding the Fourth Proportional to 2,504.90, 3,757.62 and 1,466.48

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Solution

The fourth proportional to 2,504.90, 3,757.62 and 1,466.48 is: 2,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.90 : 3,757.62 = 1,466.48 : x
  2. Step 2: Convert to fraction form
    2,504.90/3,757.62 = 1,466.48/x
  3. Step 3: Cross multiply
    2,504.90x = 3,757.62 × 1,466.48
  4. Step 4: Simplify right side
    2,504.90x = 5,510,474.58
  5. Step 5: Solve for x
    x = 5,510,474.58/2,504.90
  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.