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Finding the Fourth Proportional to 2,157.31, 3,240.07 and 1,341.29

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Solution

The fourth proportional to 2,157.31, 3,240.07 and 1,341.29 is: 2,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.31 : 3,240.07 = 1,341.29 : x
  2. Step 2: Convert to fraction form
    2,157.31/3,240.07 = 1,341.29/x
  3. Step 3: Cross multiply
    2,157.31x = 3,240.07 × 1,341.29
  4. Step 4: Simplify right side
    2,157.31x = 4,345,873.49
  5. Step 5: Solve for x
    x = 4,345,873.49/2,157.31
  6. Step 6: Final answer
    x = 2,014.49

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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.