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Finding the Fourth Proportional to 2,131.75, 3,195.50 and 899.84

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Solution

The fourth proportional to 2,131.75, 3,195.50 and 899.84 is: 1,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.75 : 3,195.50 = 899.84 : x
  2. Step 2: Convert to fraction form
    2,131.75/3,195.50 = 899.84/x
  3. Step 3: Cross multiply
    2,131.75x = 3,195.50 × 899.84
  4. Step 4: Simplify right side
    2,131.75x = 2,875,438.72
  5. Step 5: Solve for x
    x = 2,875,438.72/2,131.75
  6. Step 6: Final answer
    x = 1,348.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.