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Finding the Fourth Proportional to 2,287.67, 3,157.31 and 1,660.27

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Solution

The fourth proportional to 2,287.67, 3,157.31 and 1,660.27 is: 2,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.67 : 3,157.31 = 1,660.27 : x
  2. Step 2: Convert to fraction form
    2,287.67/3,157.31 = 1,660.27/x
  3. Step 3: Cross multiply
    2,287.67x = 3,157.31 × 1,660.27
  4. Step 4: Simplify right side
    2,287.67x = 5,241,962.99
  5. Step 5: Solve for x
    x = 5,241,962.99/2,287.67
  6. Step 6: Final answer
    x = 2,291.40

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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.