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Finding the Fourth Proportional to 2,426.58, 3,640.68 and 965.34

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Solution

The fourth proportional to 2,426.58, 3,640.68 and 965.34 is: 1,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.58 : 3,640.68 = 965.34 : x
  2. Step 2: Convert to fraction form
    2,426.58/3,640.68 = 965.34/x
  3. Step 3: Cross multiply
    2,426.58x = 3,640.68 × 965.34
  4. Step 4: Simplify right side
    2,426.58x = 3,514,494.03
  5. Step 5: Solve for x
    x = 3,514,494.03/2,426.58
  6. Step 6: Final answer
    x = 1,448.33

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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.