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Finding the Fourth Proportional to 2,277.10, 3,415.26 and 633.80

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Solution

The fourth proportional to 2,277.10, 3,415.26 and 633.80 is: 950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.10 : 3,415.26 = 633.80 : x
  2. Step 2: Convert to fraction form
    2,277.10/3,415.26 = 633.80/x
  3. Step 3: Cross multiply
    2,277.10x = 3,415.26 × 633.80
  4. Step 4: Simplify right side
    2,277.10x = 2,164,591.79
  5. Step 5: Solve for x
    x = 2,164,591.79/2,277.10
  6. Step 6: Final answer
    x = 950.59

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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.