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Finding the Fourth Proportional to 2,066.55, 3,099.91 and 605.71

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Solution

The fourth proportional to 2,066.55, 3,099.91 and 605.71 is: 908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.55 : 3,099.91 = 605.71 : x
  2. Step 2: Convert to fraction form
    2,066.55/3,099.91 = 605.71/x
  3. Step 3: Cross multiply
    2,066.55x = 3,099.91 × 605.71
  4. Step 4: Simplify right side
    2,066.55x = 1,877,646.49
  5. Step 5: Solve for x
    x = 1,877,646.49/2,066.55
  6. Step 6: Final answer
    x = 908.59

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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.