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Finding the Fourth Proportional to 2,277.11, 3,415.57 and 633.56

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Solution

The fourth proportional to 2,277.11, 3,415.57 and 633.56 is: 950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.11 : 3,415.57 = 633.56 : x
  2. Step 2: Convert to fraction form
    2,277.11/3,415.57 = 633.56/x
  3. Step 3: Cross multiply
    2,277.11x = 3,415.57 × 633.56
  4. Step 4: Simplify right side
    2,277.11x = 2,163,949.87
  5. Step 5: Solve for x
    x = 2,163,949.87/2,277.11
  6. Step 6: Final answer
    x = 950.30

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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.