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Finding the Fourth Proportional to 1,646.63, 2,469.03 and 673.41

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Solution

The fourth proportional to 1,646.63, 2,469.03 and 673.41 is: 1,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.63 : 2,469.03 = 673.41 : x
  2. Step 2: Convert to fraction form
    1,646.63/2,469.03 = 673.41/x
  3. Step 3: Cross multiply
    1,646.63x = 2,469.03 × 673.41
  4. Step 4: Simplify right side
    1,646.63x = 1,662,680.01
  5. Step 5: Solve for x
    x = 1,662,680.01/1,646.63
  6. Step 6: Final answer
    x = 1,009.75

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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.