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Finding the Fourth Proportional to 3,232.81, 4,849.50 and 892.82

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Solution

The fourth proportional to 3,232.81, 4,849.50 and 892.82 is: 1,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.81 : 4,849.50 = 892.82 : x
  2. Step 2: Convert to fraction form
    3,232.81/4,849.50 = 892.82/x
  3. Step 3: Cross multiply
    3,232.81x = 4,849.50 × 892.82
  4. Step 4: Simplify right side
    3,232.81x = 4,329,730.59
  5. Step 5: Solve for x
    x = 4,329,730.59/3,232.81
  6. Step 6: Final answer
    x = 1,339.31

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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.