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Finding the Fourth Proportional to 1,544.73, 2,315.57 and 997.31

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Solution

The fourth proportional to 1,544.73, 2,315.57 and 997.31 is: 1,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.73 : 2,315.57 = 997.31 : x
  2. Step 2: Convert to fraction form
    1,544.73/2,315.57 = 997.31/x
  3. Step 3: Cross multiply
    1,544.73x = 2,315.57 × 997.31
  4. Step 4: Simplify right side
    1,544.73x = 2,309,324.55
  5. Step 5: Solve for x
    x = 2,309,324.55/1,544.73
  6. Step 6: Final answer
    x = 1,494.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.