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Finding the Fourth Proportional to 2,369, 3,552 and 1,136.72

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Solution

The fourth proportional to 2,369, 3,552 and 1,136.72 is: 1,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369 : 3,552 = 1,136.72 : x
  2. Step 2: Convert to fraction form
    2,369/3,552 = 1,136.72/x
  3. Step 3: Cross multiply
    2,369x = 3,552 × 1,136.72
  4. Step 4: Simplify right side
    2,369x = 4,037,629.44
  5. Step 5: Solve for x
    x = 4,037,629.44/2,369
  6. Step 6: Final answer
    x = 1,704.36

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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.