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Finding the Fourth Proportional to 1,673.22, 2,509.43 and 633.32

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Solution

The fourth proportional to 1,673.22, 2,509.43 and 633.32 is: 949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.22 : 2,509.43 = 633.32 : x
  2. Step 2: Convert to fraction form
    1,673.22/2,509.43 = 633.32/x
  3. Step 3: Cross multiply
    1,673.22x = 2,509.43 × 633.32
  4. Step 4: Simplify right side
    1,673.22x = 1,589,256.49
  5. Step 5: Solve for x
    x = 1,589,256.49/1,673.22
  6. Step 6: Final answer
    x = 949.82

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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.