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Finding the Fourth Proportional to 1,640.54, 2,460.61 and 665.71

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Solution

The fourth proportional to 1,640.54, 2,460.61 and 665.71 is: 998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.54 : 2,460.61 = 665.71 : x
  2. Step 2: Convert to fraction form
    1,640.54/2,460.61 = 665.71/x
  3. Step 3: Cross multiply
    1,640.54x = 2,460.61 × 665.71
  4. Step 4: Simplify right side
    1,640.54x = 1,638,047.36
  5. Step 5: Solve for x
    x = 1,638,047.36/1,640.54
  6. Step 6: Final answer
    x = 998.48

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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.