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Finding the Fourth Proportional to 2,174.38, 2,995.95 and 1,474.54

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Solution

The fourth proportional to 2,174.38, 2,995.95 and 1,474.54 is: 2,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.38 : 2,995.95 = 1,474.54 : x
  2. Step 2: Convert to fraction form
    2,174.38/2,995.95 = 1,474.54/x
  3. Step 3: Cross multiply
    2,174.38x = 2,995.95 × 1,474.54
  4. Step 4: Simplify right side
    2,174.38x = 4,417,648.11
  5. Step 5: Solve for x
    x = 4,417,648.11/2,174.38
  6. Step 6: Final answer
    x = 2,031.68

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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.