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Finding the Fourth Proportional to 1,640.46, 2,456.10 and 1,279.48

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Solution

The fourth proportional to 1,640.46, 2,456.10 and 1,279.48 is: 1,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.46 : 2,456.10 = 1,279.48 : x
  2. Step 2: Convert to fraction form
    1,640.46/2,456.10 = 1,279.48/x
  3. Step 3: Cross multiply
    1,640.46x = 2,456.10 × 1,279.48
  4. Step 4: Simplify right side
    1,640.46x = 3,142,530.83
  5. Step 5: Solve for x
    x = 3,142,530.83/1,640.46
  6. Step 6: Final answer
    x = 1,915.64

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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.