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Finding the Fourth Proportional to 1,896.48, 2,846.16 and 743.04

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Solution

The fourth proportional to 1,896.48, 2,846.16 and 743.04 is: 1,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.48 : 2,846.16 = 743.04 : x
  2. Step 2: Convert to fraction form
    1,896.48/2,846.16 = 743.04/x
  3. Step 3: Cross multiply
    1,896.48x = 2,846.16 × 743.04
  4. Step 4: Simplify right side
    1,896.48x = 2,114,810.73
  5. Step 5: Solve for x
    x = 2,114,810.73/1,896.48
  6. Step 6: Final answer
    x = 1,115.12

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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.