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Finding the Fourth Proportional to 3,066.34, 4,597.89 and 1,217.38

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Solution

The fourth proportional to 3,066.34, 4,597.89 and 1,217.38 is: 1,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.34 : 4,597.89 = 1,217.38 : x
  2. Step 2: Convert to fraction form
    3,066.34/4,597.89 = 1,217.38/x
  3. Step 3: Cross multiply
    3,066.34x = 4,597.89 × 1,217.38
  4. Step 4: Simplify right side
    3,066.34x = 5,597,379.33
  5. Step 5: Solve for x
    x = 5,597,379.33/3,066.34
  6. Step 6: Final answer
    x = 1,825.43

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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.