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Finding the Fourth Proportional to 2,066.40, 3,100.05 and 605.43

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Solution

The fourth proportional to 2,066.40, 3,100.05 and 605.43 is: 908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.40 : 3,100.05 = 605.43 : x
  2. Step 2: Convert to fraction form
    2,066.40/3,100.05 = 605.43/x
  3. Step 3: Cross multiply
    2,066.40x = 3,100.05 × 605.43
  4. Step 4: Simplify right side
    2,066.40x = 1,876,863.27
  5. Step 5: Solve for x
    x = 1,876,863.27/2,066.40
  6. Step 6: Final answer
    x = 908.28

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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.