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Finding the Fourth Proportional to 1,644.74, 2,464.38 and 1,155.44

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Solution

The fourth proportional to 1,644.74, 2,464.38 and 1,155.44 is: 1,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.74 : 2,464.38 = 1,155.44 : x
  2. Step 2: Convert to fraction form
    1,644.74/2,464.38 = 1,155.44/x
  3. Step 3: Cross multiply
    1,644.74x = 2,464.38 × 1,155.44
  4. Step 4: Simplify right side
    1,644.74x = 2,847,443.23
  5. Step 5: Solve for x
    x = 2,847,443.23/1,644.74
  6. Step 6: Final answer
    x = 1,731.24

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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.