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Finding the Fourth Proportional to 2,654, 3,662.19 and 1,474.92

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Solution

The fourth proportional to 2,654, 3,662.19 and 1,474.92 is: 2,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654 : 3,662.19 = 1,474.92 : x
  2. Step 2: Convert to fraction form
    2,654/3,662.19 = 1,474.92/x
  3. Step 3: Cross multiply
    2,654x = 3,662.19 × 1,474.92
  4. Step 4: Simplify right side
    2,654x = 5,401,437.27
  5. Step 5: Solve for x
    x = 5,401,437.27/2,654
  6. Step 6: Final answer
    x = 2,035.21

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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.