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Finding the Fourth Proportional to 1,627.26, 2,245.49 and 997.53

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Solution

The fourth proportional to 1,627.26, 2,245.49 and 997.53 is: 1,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.26 : 2,245.49 = 997.53 : x
  2. Step 2: Convert to fraction form
    1,627.26/2,245.49 = 997.53/x
  3. Step 3: Cross multiply
    1,627.26x = 2,245.49 × 997.53
  4. Step 4: Simplify right side
    1,627.26x = 2,239,943.64
  5. Step 5: Solve for x
    x = 2,239,943.64/1,627.26
  6. Step 6: Final answer
    x = 1,376.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.