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Finding the Fourth Proportional to 1,627.98, 2,247.20 and 964.85

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Solution

The fourth proportional to 1,627.98, 2,247.20 and 964.85 is: 1,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.98 : 2,247.20 = 964.85 : x
  2. Step 2: Convert to fraction form
    1,627.98/2,247.20 = 964.85/x
  3. Step 3: Cross multiply
    1,627.98x = 2,247.20 × 964.85
  4. Step 4: Simplify right side
    1,627.98x = 2,168,194.86
  5. Step 5: Solve for x
    x = 2,168,194.86/1,627.98
  6. Step 6: Final answer
    x = 1,331.83

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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.