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Finding the Fourth Proportional to 1,640.91, 2,461.08 and 486.39

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Solution

The fourth proportional to 1,640.91, 2,461.08 and 486.39 is: 729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.91 : 2,461.08 = 486.39 : x
  2. Step 2: Convert to fraction form
    1,640.91/2,461.08 = 486.39/x
  3. Step 3: Cross multiply
    1,640.91x = 2,461.08 × 486.39
  4. Step 4: Simplify right side
    1,640.91x = 1,197,044.70
  5. Step 5: Solve for x
    x = 1,197,044.70/1,640.91
  6. Step 6: Final answer
    x = 729.50

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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.