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Finding the Fourth Proportional to 1,630.40, 2,443.46 and 890.33

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Solution

The fourth proportional to 1,630.40, 2,443.46 and 890.33 is: 1,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.40 : 2,443.46 = 890.33 : x
  2. Step 2: Convert to fraction form
    1,630.40/2,443.46 = 890.33/x
  3. Step 3: Cross multiply
    1,630.40x = 2,443.46 × 890.33
  4. Step 4: Simplify right side
    1,630.40x = 2,175,469.07
  5. Step 5: Solve for x
    x = 2,175,469.07/1,630.40
  6. Step 6: Final answer
    x = 1,334.32

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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.