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Finding the Fourth Proportional to 2,974.36, 4,460.13 and 1,099.64

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Solution

The fourth proportional to 2,974.36, 4,460.13 and 1,099.64 is: 1,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.36 : 4,460.13 = 1,099.64 : x
  2. Step 2: Convert to fraction form
    2,974.36/4,460.13 = 1,099.64/x
  3. Step 3: Cross multiply
    2,974.36x = 4,460.13 × 1,099.64
  4. Step 4: Simplify right side
    2,974.36x = 4,904,537.35
  5. Step 5: Solve for x
    x = 4,904,537.35/2,974.36
  6. Step 6: Final answer
    x = 1,648.94

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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.