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Finding the Fourth Proportional to 1,832.70, 2,527.11 and 1,168.50

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Solution

The fourth proportional to 1,832.70, 2,527.11 and 1,168.50 is: 1,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.70 : 2,527.11 = 1,168.50 : x
  2. Step 2: Convert to fraction form
    1,832.70/2,527.11 = 1,168.50/x
  3. Step 3: Cross multiply
    1,832.70x = 2,527.11 × 1,168.50
  4. Step 4: Simplify right side
    1,832.70x = 2,952,928.04
  5. Step 5: Solve for x
    x = 2,952,928.04/1,832.70
  6. Step 6: Final answer
    x = 1,611.24

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Why These Related Problems?

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