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Finding the Fourth Proportional to 2,066.73, 3,100.50 and 605.97

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Solution

The fourth proportional to 2,066.73, 3,100.50 and 605.97 is: 909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.73 : 3,100.50 = 605.97 : x
  2. Step 2: Convert to fraction form
    2,066.73/3,100.50 = 605.97/x
  3. Step 3: Cross multiply
    2,066.73x = 3,100.50 × 605.97
  4. Step 4: Simplify right side
    2,066.73x = 1,878,809.99
  5. Step 5: Solve for x
    x = 1,878,809.99/2,066.73
  6. Step 6: Final answer
    x = 909.07

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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.