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Finding the Fourth Proportional to 1,630.48, 2,250.04 and 884.43

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Solution

The fourth proportional to 1,630.48, 2,250.04 and 884.43 is: 1,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.48 : 2,250.04 = 884.43 : x
  2. Step 2: Convert to fraction form
    1,630.48/2,250.04 = 884.43/x
  3. Step 3: Cross multiply
    1,630.48x = 2,250.04 × 884.43
  4. Step 4: Simplify right side
    1,630.48x = 1,990,002.88
  5. Step 5: Solve for x
    x = 1,990,002.88/1,630.48
  6. Step 6: Final answer
    x = 1,220.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.