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Finding the Fourth Proportional to 2,141.44, 3,213.37 and 987.19

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Solution

The fourth proportional to 2,141.44, 3,213.37 and 987.19 is: 1,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 3,213.37 = 987.19 : x
  2. Step 2: Convert to fraction form
    2,141.44/3,213.37 = 987.19/x
  3. Step 3: Cross multiply
    2,141.44x = 3,213.37 × 987.19
  4. Step 4: Simplify right side
    2,141.44x = 3,172,199.93
  5. Step 5: Solve for x
    x = 3,172,199.93/2,141.44
  6. Step 6: Final answer
    x = 1,481.34

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1.5x scale

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.