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Finding the Fourth Proportional to 2,138.28, 2,949.03 and 1,695.48

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Solution

The fourth proportional to 2,138.28, 2,949.03 and 1,695.48 is: 2,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.28 : 2,949.03 = 1,695.48 : x
  2. Step 2: Convert to fraction form
    2,138.28/2,949.03 = 1,695.48/x
  3. Step 3: Cross multiply
    2,138.28x = 2,949.03 × 1,695.48
  4. Step 4: Simplify right side
    2,138.28x = 5,000,021.38
  5. Step 5: Solve for x
    x = 5,000,021.38/2,138.28
  6. Step 6: Final answer
    x = 2,338.34

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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.