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Finding the Fourth Proportional to 2,270, 3,129.72 and 1,679.54

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Solution

The fourth proportional to 2,270, 3,129.72 and 1,679.54 is: 2,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,129.72 = 1,679.54 : x
  2. Step 2: Convert to fraction form
    2,270/3,129.72 = 1,679.54/x
  3. Step 3: Cross multiply
    2,270x = 3,129.72 × 1,679.54
  4. Step 4: Simplify right side
    2,270x = 5,256,489.93
  5. Step 5: Solve for x
    x = 5,256,489.93/2,270
  6. Step 6: Final answer
    x = 2,315.63

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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.