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Finding the Fourth Proportional to 2,896.53, 4,344.23 and 816.01

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Solution

The fourth proportional to 2,896.53, 4,344.23 and 816.01 is: 1,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.53 : 4,344.23 = 816.01 : x
  2. Step 2: Convert to fraction form
    2,896.53/4,344.23 = 816.01/x
  3. Step 3: Cross multiply
    2,896.53x = 4,344.23 × 816.01
  4. Step 4: Simplify right side
    2,896.53x = 3,544,926.30
  5. Step 5: Solve for x
    x = 3,544,926.30/2,896.53
  6. Step 6: Final answer
    x = 1,223.85

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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.