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Finding the Fourth Proportional to 2,426.33, 3,640.70 and 965.45

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Solution

The fourth proportional to 2,426.33, 3,640.70 and 965.45 is: 1,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.33 : 3,640.70 = 965.45 : x
  2. Step 2: Convert to fraction form
    2,426.33/3,640.70 = 965.45/x
  3. Step 3: Cross multiply
    2,426.33x = 3,640.70 × 965.45
  4. Step 4: Simplify right side
    2,426.33x = 3,514,890.78
  5. Step 5: Solve for x
    x = 3,514,890.78/2,426.33
  6. Step 6: Final answer
    x = 1,448.65

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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.