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Finding the Fourth Proportional to 1,610.91, 2,416.44 and 733.05

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Solution

The fourth proportional to 1,610.91, 2,416.44 and 733.05 is: 1,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.91 : 2,416.44 = 733.05 : x
  2. Step 2: Convert to fraction form
    1,610.91/2,416.44 = 733.05/x
  3. Step 3: Cross multiply
    1,610.91x = 2,416.44 × 733.05
  4. Step 4: Simplify right side
    1,610.91x = 1,771,371.34
  5. Step 5: Solve for x
    x = 1,771,371.34/1,610.91
  6. Step 6: Final answer
    x = 1,099.61

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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.