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Finding the Fourth Proportional to 1,649.45, 2,472.46 and 1,031.73

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Solution

The fourth proportional to 1,649.45, 2,472.46 and 1,031.73 is: 1,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.45 : 2,472.46 = 1,031.73 : x
  2. Step 2: Convert to fraction form
    1,649.45/2,472.46 = 1,031.73/x
  3. Step 3: Cross multiply
    1,649.45x = 2,472.46 × 1,031.73
  4. Step 4: Simplify right side
    1,649.45x = 2,550,911.16
  5. Step 5: Solve for x
    x = 2,550,911.16/1,649.45
  6. Step 6: Final answer
    x = 1,546.52

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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.