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Finding the Fourth Proportional to 2,832.84, 4,246.74 and 1,101.06

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Solution

The fourth proportional to 2,832.84, 4,246.74 and 1,101.06 is: 1,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.84 : 4,246.74 = 1,101.06 : x
  2. Step 2: Convert to fraction form
    2,832.84/4,246.74 = 1,101.06/x
  3. Step 3: Cross multiply
    2,832.84x = 4,246.74 × 1,101.06
  4. Step 4: Simplify right side
    2,832.84x = 4,675,915.54
  5. Step 5: Solve for x
    x = 4,675,915.54/2,832.84
  6. Step 6: Final answer
    x = 1,650.61

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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.