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Finding the Fourth Proportional to 2,427.10, 3,640.90 and 965.92

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Solution

The fourth proportional to 2,427.10, 3,640.90 and 965.92 is: 1,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.10 : 3,640.90 = 965.92 : x
  2. Step 2: Convert to fraction form
    2,427.10/3,640.90 = 965.92/x
  3. Step 3: Cross multiply
    2,427.10x = 3,640.90 × 965.92
  4. Step 4: Simplify right side
    2,427.10x = 3,516,797.51
  5. Step 5: Solve for x
    x = 3,516,797.51/2,427.10
  6. Step 6: Final answer
    x = 1,448.97

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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.