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Finding the Fourth Proportional to 1,633.88, 2,453.31 and 1,021.46

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Solution

The fourth proportional to 1,633.88, 2,453.31 and 1,021.46 is: 1,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.88 : 2,453.31 = 1,021.46 : x
  2. Step 2: Convert to fraction form
    1,633.88/2,453.31 = 1,021.46/x
  3. Step 3: Cross multiply
    1,633.88x = 2,453.31 × 1,021.46
  4. Step 4: Simplify right side
    1,633.88x = 2,505,945.77
  5. Step 5: Solve for x
    x = 2,505,945.77/1,633.88
  6. Step 6: Final answer
    x = 1,533.74

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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.