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Finding the Fourth Proportional to 2,066.68, 3,100.31 and 605.83

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Solution

The fourth proportional to 2,066.68, 3,100.31 and 605.83 is: 908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.68 : 3,100.31 = 605.83 : x
  2. Step 2: Convert to fraction form
    2,066.68/3,100.31 = 605.83/x
  3. Step 3: Cross multiply
    2,066.68x = 3,100.31 × 605.83
  4. Step 4: Simplify right side
    2,066.68x = 1,878,260.81
  5. Step 5: Solve for x
    x = 1,878,260.81/2,066.68
  6. Step 6: Final answer
    x = 908.83

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