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Finding the Fourth Proportional to 2,642.28, 3,962.52 and 910.56

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Solution

The fourth proportional to 2,642.28, 3,962.52 and 910.56 is: 1,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.28 : 3,962.52 = 910.56 : x
  2. Step 2: Convert to fraction form
    2,642.28/3,962.52 = 910.56/x
  3. Step 3: Cross multiply
    2,642.28x = 3,962.52 × 910.56
  4. Step 4: Simplify right side
    2,642.28x = 3,608,112.21
  5. Step 5: Solve for x
    x = 3,608,112.21/2,642.28
  6. Step 6: Final answer
    x = 1,365.53

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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.