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Finding the Fourth Proportional to 3,191.70, 4,405.32 and 2,129.52

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Solution

The fourth proportional to 3,191.70, 4,405.32 and 2,129.52 is: 2,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.70 : 4,405.32 = 2,129.52 : x
  2. Step 2: Convert to fraction form
    3,191.70/4,405.32 = 2,129.52/x
  3. Step 3: Cross multiply
    3,191.70x = 4,405.32 × 2,129.52
  4. Step 4: Simplify right side
    3,191.70x = 9,381,217.05
  5. Step 5: Solve for x
    x = 9,381,217.05/3,191.70
  6. Step 6: Final answer
    x = 2,939.25

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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.