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Finding the Fourth Proportional to 3,233.02, 4,849.64 and 893.20

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Solution

The fourth proportional to 3,233.02, 4,849.64 and 893.20 is: 1,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.02 : 4,849.64 = 893.20 : x
  2. Step 2: Convert to fraction form
    3,233.02/4,849.64 = 893.20/x
  3. Step 3: Cross multiply
    3,233.02x = 4,849.64 × 893.20
  4. Step 4: Simplify right side
    3,233.02x = 4,331,698.45
  5. Step 5: Solve for x
    x = 4,331,698.45/3,233.02
  6. Step 6: Final answer
    x = 1,339.83

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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.