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Finding the Fourth Proportional to 2,126.49, 3,185.49 and 1,662.10

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Solution

The fourth proportional to 2,126.49, 3,185.49 and 1,662.10 is: 2,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.49 : 3,185.49 = 1,662.10 : x
  2. Step 2: Convert to fraction form
    2,126.49/3,185.49 = 1,662.10/x
  3. Step 3: Cross multiply
    2,126.49x = 3,185.49 × 1,662.10
  4. Step 4: Simplify right side
    2,126.49x = 5,294,602.93
  5. Step 5: Solve for x
    x = 5,294,602.93/2,126.49
  6. Step 6: Final answer
    x = 2,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.