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Finding the Fourth Proportional to 3,232.85, 4,849.37 and 893.03

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Solution

The fourth proportional to 3,232.85, 4,849.37 and 893.03 is: 1,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.85 : 4,849.37 = 893.03 : x
  2. Step 2: Convert to fraction form
    3,232.85/4,849.37 = 893.03/x
  3. Step 3: Cross multiply
    3,232.85x = 4,849.37 × 893.03
  4. Step 4: Simplify right side
    3,232.85x = 4,330,608.64
  5. Step 5: Solve for x
    x = 4,330,608.64/3,232.85
  6. Step 6: Final answer
    x = 1,339.57

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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.