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Finding the Fourth Proportional to 1,504.53, 2,252.69 and 1,138.21

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Solution

The fourth proportional to 1,504.53, 2,252.69 and 1,138.21 is: 1,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.53 : 2,252.69 = 1,138.21 : x
  2. Step 2: Convert to fraction form
    1,504.53/2,252.69 = 1,138.21/x
  3. Step 3: Cross multiply
    1,504.53x = 2,252.69 × 1,138.21
  4. Step 4: Simplify right side
    1,504.53x = 2,564,022.96
  5. Step 5: Solve for x
    x = 2,564,022.96/1,504.53
  6. Step 6: Final answer
    x = 1,704.20

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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.