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Finding the Fourth Proportional to 2,277.24, 3,415.97 and 633.75

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Solution

The fourth proportional to 2,277.24, 3,415.97 and 633.75 is: 950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.24 : 3,415.97 = 633.75 : x
  2. Step 2: Convert to fraction form
    2,277.24/3,415.97 = 633.75/x
  3. Step 3: Cross multiply
    2,277.24x = 3,415.97 × 633.75
  4. Step 4: Simplify right side
    2,277.24x = 2,164,867.82
  5. Step 5: Solve for x
    x = 2,164,867.82/2,277.24
  6. Step 6: Final answer
    x = 950.65

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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.