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Finding the Fourth Proportional to 1,642.55, 2,253.78 and 1,627.07

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Solution

The fourth proportional to 1,642.55, 2,253.78 and 1,627.07 is: 2,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.55 : 2,253.78 = 1,627.07 : x
  2. Step 2: Convert to fraction form
    1,642.55/2,253.78 = 1,627.07/x
  3. Step 3: Cross multiply
    1,642.55x = 2,253.78 × 1,627.07
  4. Step 4: Simplify right side
    1,642.55x = 3,667,046.56
  5. Step 5: Solve for x
    x = 3,667,046.56/1,642.55
  6. Step 6: Final answer
    x = 2,232.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.