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Finding the Fourth Proportional to 3,066, 4,584.98 and 2,286.54

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Solution

The fourth proportional to 3,066, 4,584.98 and 2,286.54 is: 3,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,584.98 = 2,286.54 : x
  2. Step 2: Convert to fraction form
    3,066/4,584.98 = 2,286.54/x
  3. Step 3: Cross multiply
    3,066x = 4,584.98 × 2,286.54
  4. Step 4: Simplify right side
    3,066x = 10,483,740.17
  5. Step 5: Solve for x
    x = 10,483,740.17/3,066
  6. Step 6: Final answer
    x = 3,419.35

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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.