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Finding the Fourth Proportional to 2,913.57, 4,369.41 and 965.25

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Solution

The fourth proportional to 2,913.57, 4,369.41 and 965.25 is: 1,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.57 : 4,369.41 = 965.25 : x
  2. Step 2: Convert to fraction form
    2,913.57/4,369.41 = 965.25/x
  3. Step 3: Cross multiply
    2,913.57x = 4,369.41 × 965.25
  4. Step 4: Simplify right side
    2,913.57x = 4,217,573.00
  5. Step 5: Solve for x
    x = 4,217,573.00/2,913.57
  6. Step 6: Final answer
    x = 1,447.56

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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.