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Finding the Fourth Proportional to 1,640.39, 2,460.57 and 407.79

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Solution

The fourth proportional to 1,640.39, 2,460.57 and 407.79 is: 611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.39 : 2,460.57 = 407.79 : x
  2. Step 2: Convert to fraction form
    1,640.39/2,460.57 = 407.79/x
  3. Step 3: Cross multiply
    1,640.39x = 2,460.57 × 407.79
  4. Step 4: Simplify right side
    1,640.39x = 1,003,383.54
  5. Step 5: Solve for x
    x = 1,003,383.54/1,640.39
  6. Step 6: Final answer
    x = 611.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.