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Finding the Fourth Proportional to 1,649.63, 2,472.99 and 826.73

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Solution

The fourth proportional to 1,649.63, 2,472.99 and 826.73 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.63 : 2,472.99 = 826.73 : x
  2. Step 2: Convert to fraction form
    1,649.63/2,472.99 = 826.73/x
  3. Step 3: Cross multiply
    1,649.63x = 2,472.99 × 826.73
  4. Step 4: Simplify right side
    1,649.63x = 2,044,495.02
  5. Step 5: Solve for x
    x = 2,044,495.02/1,649.63
  6. Step 6: Final answer
    x = 1,239.37

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1.5x scale

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.