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Finding the Fourth Proportional to 2,850.69, 4,277.65 and 2,277.21

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Solution

The fourth proportional to 2,850.69, 4,277.65 and 2,277.21 is: 3,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.69 : 4,277.65 = 2,277.21 : x
  2. Step 2: Convert to fraction form
    2,850.69/4,277.65 = 2,277.21/x
  3. Step 3: Cross multiply
    2,850.69x = 4,277.65 × 2,277.21
  4. Step 4: Simplify right side
    2,850.69x = 9,741,107.36
  5. Step 5: Solve for x
    x = 9,741,107.36/2,850.69
  6. Step 6: Final answer
    x = 3,417.11

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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.