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Finding the Fourth Proportional to 2,153.82, 3,232.36 and 855.40

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Solution

The fourth proportional to 2,153.82, 3,232.36 and 855.40 is: 1,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.82 : 3,232.36 = 855.40 : x
  2. Step 2: Convert to fraction form
    2,153.82/3,232.36 = 855.40/x
  3. Step 3: Cross multiply
    2,153.82x = 3,232.36 × 855.40
  4. Step 4: Simplify right side
    2,153.82x = 2,764,960.74
  5. Step 5: Solve for x
    x = 2,764,960.74/2,153.82
  6. Step 6: Final answer
    x = 1,283.75

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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.