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Finding the Fourth Proportional to 2,157.89, 2,976.76 and 1,633.01

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Solution

The fourth proportional to 2,157.89, 2,976.76 and 1,633.01 is: 2,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.89 : 2,976.76 = 1,633.01 : x
  2. Step 2: Convert to fraction form
    2,157.89/2,976.76 = 1,633.01/x
  3. Step 3: Cross multiply
    2,157.89x = 2,976.76 × 1,633.01
  4. Step 4: Simplify right side
    2,157.89x = 4,861,078.85
  5. Step 5: Solve for x
    x = 4,861,078.85/2,157.89
  6. Step 6: Final answer
    x = 2,252.70

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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.