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Finding the Fourth Proportional to 2,896.44, 4,344.81 and 816.60

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Solution

The fourth proportional to 2,896.44, 4,344.81 and 816.60 is: 1,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.44 : 4,344.81 = 816.60 : x
  2. Step 2: Convert to fraction form
    2,896.44/4,344.81 = 816.60/x
  3. Step 3: Cross multiply
    2,896.44x = 4,344.81 × 816.60
  4. Step 4: Simplify right side
    2,896.44x = 3,547,971.85
  5. Step 5: Solve for x
    x = 3,547,971.85/2,896.44
  6. Step 6: Final answer
    x = 1,224.94

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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.