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Finding the Fourth Proportional to 3,179.51, 4,768.49 and 1,099.58

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Solution

The fourth proportional to 3,179.51, 4,768.49 and 1,099.58 is: 1,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.51 : 4,768.49 = 1,099.58 : x
  2. Step 2: Convert to fraction form
    3,179.51/4,768.49 = 1,099.58/x
  3. Step 3: Cross multiply
    3,179.51x = 4,768.49 × 1,099.58
  4. Step 4: Simplify right side
    3,179.51x = 5,243,306.89
  5. Step 5: Solve for x
    x = 5,243,306.89/3,179.51
  6. Step 6: Final answer
    x = 1,649.10

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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.